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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass points; nodal plane curve; high order of contact; Weierstrass semigroup Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Plane and space curves Weierstrass points and ramification loci on singular plane curves. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rigid-analytic period functions; Goss polynomials; distribution of zeros of \(p\)-adic functions Arithmetic theory of algebraic function fields, Modular forms associated to Drinfel'd modules, Rigid analytic geometry On the zeroes of certain periodic functions over valued fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Teichmüller space; algebras of geodesic functions; Riemann surfaces with boundary; quantization; Darboux coordinates Chekhov, L.; Mazzocco, M., Colliding holes in Riemann surfaces and quantum cluster algebras, Nonlinearity, 31, 54, (2018) Cluster algebras, Relationships between surfaces, higher-dimensional varieties, and physics, Triangulating manifolds, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Relations of low-dimensional topology with graph theory, Riemann surfaces; Weierstrass points; gap sequences, Quantum groups (quantized enveloping algebras) and related deformations, Teichmüller theory for Riemann surfaces Colliding holes in Riemann surfaces and quantum cluster algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic geometry code; asymptotic bounds; Tsfasman-Vladut-Zink bound Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes, Arithmetic theory of algebraic function fields Improved algebraic geometry bounds | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; genus; geometry of numbers D. Kettlestrings and J.L. Thunder, The number of function fields with given genus, Contem. Math. 587 (2013), 141--149. Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry The number of function fields with given genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Function theory on compact Riemann surfaces spread over the Riemann sphere Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization On the theory of Riemann's integrals. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic first homology group; Riemann surface of genus 2; Weierstrass points; mapping class group; equivariant homotopies for surface homeomorphisms; symplectic vector space J. D. McCarthy: \_{}\{\^{}\{\(Weierstrass points and Z2 homology\)\}\} , Topology and its Applications 63, pp. 173-188, (1995). Compact Riemann surfaces and uniformization, General low-dimensional topology, Differential topological aspects of diffeomorphisms, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Other groups related to topology or analysis, Structure and classification of infinite or finite groups, Riemann surfaces; Weierstrass points; gap sequences Weierstrass points and \(\mathbb{Z}_ 2\) homology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic congruence subgroups; infinite rank free quotients; algebraic function fields A. W. Mason, Free quotients of congruence subgroups of the Serre groups and unipotent matrices, Comm. Algebra 27 (1999), no. 1, 335 -- 356. Unimodular groups, congruence subgroups (group-theoretic aspects), Subgroup theorems; subgroup growth, Algebraic functions and function fields in algebraic geometry, Linear algebraic groups over arbitrary fields, Arithmetic theory of algebraic function fields, Structure of modular groups and generalizations; arithmetic groups Free quotients of congruence subgroups of the Serre groups and unipotent matrices | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic survey; Brauer-Manin obstruction; algorithmic decidability of Diophantine questions; Hasse principle; density of rational points on hypersurfaces Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Decidability (number-theoretic aspects), Rational points, Diophantine equations, Arithmetic ground fields for surfaces or higher-dimensional varieties Diophantine equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Klein surfaces; real theta divisors; Yang-Mills connections Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Topology of real algebraic varieties, Differentials on Riemann surfaces, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Real determinant line bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \.Zoładek, H., The topological proof of Abel-ruffini theorem, Topological Methods in Nonlinear Analysis, 16, 253-265, (2000) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Covering spaces and low-dimensional topology The topological proof of Abel-Ruffini theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine obstructions; étale homotopy Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Diophantine equations, Homotopy theory and fundamental groups in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Homotopy groups, general; sets of homotopy classes, Obstruction theory in algebraic topology Nonabelian reciprocity laws and higher Brauer-Manin obstructions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic groups; global function field; Drinfeld symmetric space; compactification; modular forms; Stark's conjectures Gekeler, E.-U., Satake compactification of Drinfel'd modular schemes, (de Grande-de Kimpe, N.; van Hamme, L., Proceedings of the conference on \textit{p}-adic analysis, Houthalen, 1986, (1987), Vrije Univ. Brussel Brussels), 71-81 Global ground fields in algebraic geometry, Structure of modular groups and generalizations; arithmetic groups, Arithmetic theory of algebraic function fields, Theta series; Weil representation; theta correspondences, Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Satake compactification of Drinfeld modular schemes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surface; Klein surface; Fuchsian group; non-Euclidean crystallographic group; Teichmüller space Costa, A.F., Izquierdo, M., Porto, A.M.: Maximal and Non-maximal NEC and Fuchsian groups uniformizing Klein and Riemann surfaces. In: Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces. Contemp. Math., Amer. Math. Soc., Providence, RI \textbf{629}, 107-118 (2014) Compact Riemann surfaces and uniformization, Klein surfaces, Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Other geometric groups, including crystallographic groups, Group actions on manifolds and cell complexes in low dimensions Maximal and non-maximal NEC and Fuchsian groups uniformizing Klein and Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic non-hyperelliptic \((n,s)\)-curves; second-kind integrals; Weierstrass point Spaces and algebras of analytic functions of one complex variable, Riemann surfaces; Weierstrass points; gap sequences On regularization of second kind integrals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational algorithm; full partial fraction expansion; rational function; algebraic closure Bronstein, M., Salvy, B.: Full partial fraction decomposition of rational functions. In: ISSAC '93: Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, pp. 157--160. ACM, New York, NY, USA (1993) Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields Full partial fraction decomposition of rational functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ramified covering of compact Riemann surfaces; theta-characteristic Serre, J.-P., Revêtements à ramification impaire et thêta-caractéristiques, C. R. acad. sci. Paris Sér. I math., 311, 9, 547-552, (1990) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Theta functions and curves; Schottky problem Coverings with odd ramification and theta-characteristics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kent, IV R.P.: Congruence Kernels Around Affine Curves. arXiv:1109.1267v1 (2011) Topological methods in group theory, Fundamental groups and their automorphisms (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences, Limits, profinite groups, Braid groups; Artin groups, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Teichmüller theory for Riemann surfaces Congruence kernels around affine curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic theta function; Teichmüller modular form; Siegel modular form; genus 4 curve; Schottky-Igusa modular form M. Matone and R. Volpato, \textit{Vector-valued modular forms from the Mumford form, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula}, to appear in \textit{Proc. Amer. Math. Soc.} [arXiv:1102.0006] [INSPIRE]. Theta functions and curves; Schottky problem, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences Vector-valued modular forms from the Mumford forms, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(M^*\)-groups; groups of automorphisms; compact bordered Klein surfaces; finite groups with two generators Bujalance, E.F.-J. Cirre and P. Turbek, Automorphism criteria for \(M^*\)-groups , Proc. Edinburgh Math. Soc. (2) 47 (2004), 339-351. Fuchsian groups and their generalizations (group-theoretic aspects), Automorphisms of abstract finite groups, Generators, relations, and presentations of groups, Klein surfaces, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves Automorphism criteria for \(M^*\)-groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; Kronecker; Dedekind; Weber; Hensel; Noether; Dedekind rings [1999] ??Die Entdeckung der Analogie zwischen Zahl- und Funktionenkörper: der Ursprung der ?Dedekind-Ringe,?? Jahresbericht der DMV 101 (1999): 116-134. History of number theory, Arithmetic theory of algebraic function fields, History of mathematics in the 19th century, History of mathematics in the 20th century, Algebraic number theory: global fields, Dedekind, Prüfer, Krull and Mori rings and their generalizations, History of algebraic geometry, Algebraic functions and function fields in algebraic geometry On the discovery of the analogy between number and function fields: The origin of Dedekind rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic M. Rosen, \textit{S}-units and \textit{S}-class group in algebraic function fields, J. Algebra 26 (1973), 98-108. Arithmetic theory of algebraic function fields, Units and factorization, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry \(S\)-units and \(S\)-class group in algebraic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kummer congruences; Laurent expansion; elliptic functions; nonsingular cubic curve; Hessian normal form; generalized Von Staudt-Clausen partial fraction decompositions C. Snyder, The coefficients of the Hessian elliptic functions, J. Reine Angew. Math. 306, 60--87. Arithmetic theory of algebraic function fields, Bernoulli and Euler numbers and polynomials, Special algebraic curves and curves of low genus, Elliptic curves Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic equations; solvability problems; Abel's theorem; complex functions of one variable; Riemann surfaces; monodromy; differential Galois theory; regular polyhedra Research exposition (monographs, survey articles) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Separable extensions, Galois theory, Classification theory of Riemann surfaces, Equations in general fields, Riemann surfaces; Weierstrass points; gap sequences, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, Differential algebra Abel's theorem in problems and solutions. Based on the lectures of Professor V. I. Arnold. Translated from the English by Francesca Aicardi | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Polyakov string; higher genus Riemann surface; global operator formalism; Krichever-Novikov bases; bosonic string; BRST charge Virasoro and related algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory Global operator formalism on Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group representations; normal varieties; Galois stratification; Davenport pair; monodromy group; primitive group; covers; fiber products; open image theorem; Riemann's existence theorem; genus zero problem M. D. Fried, Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification, Sci. China Math. 55(1) (2012), 1--72. Field arithmetic, Arithmetic aspects of modular and Shimura varieties, Arithmetic theory of algebraic function fields, Polynomials in general fields (irreducibility, etc.), Separable extensions, Galois theory, Coverings of curves, fundamental group, Finite simple groups and their classification Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic discretized moduli space; random surfaces; two-dimensional quantum field theory; intersection theory on the moduli space of Riemann surfaces Chekov, L., Matrix model for discretized moduli space, J. Geom. Phys., 12, 153, (1993) Families, moduli of curves (algebraic), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Riemann surfaces, Virasoro and related algebras Matrix model for discretized moduli space | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic textbooks (algebraic geometry); algebraic curves; elliptic curves; arithmetic curves; Riemann surfaces; complex tori Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces Elliptic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Cirre, F.J., Gamboa, J.M.: Compact Klein surfaces and real algebraic curves. Topics on Riemann surfaces and Fuchsian groups (Madrid, 1998). In: London Mathematical Society, Lecture Note Series, vol. 287, pp. 113-131. Cambridge University Press, Cambridge (2001) Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces Compact Klein surfaces and real algebraic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Abelian integrals; theta functions; Riemann surfaces Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences Observations on ``Vorlesungen über Riemann's Theorie der Abel'schen Integrale'' (Lectures on Riemann's theory of Abelian integrals'' by Dr. C. Neumann.'' (2. ed.). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences Algebraic models and arithmetic geometry of Teichmüller curves in genus two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iwasawa theory of totally real number fields; covering of algebraic curves over a finite field; Drinfel'd modules; Picard group; L-series David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477. Coverings of curves, fundamental group, Totally real fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry The theory of totally real function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dessin d'enfant; genus; Belyi pair Adrianov, N.M., Shabat, G.B.: Belyĭ functions of dessins d'enfants of genus 2 with four edges. Uspekhi Mat. Nauk 60(6), (366), 229--230 (2005) (in Russian); Russ. Math. Surv. 60(6), 1237--1239 (2005) (in English) Riemann surfaces; Weierstrass points; gap sequences Belyi functions of dessins d'enfants of genus 2 with 4 edges | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass point; quartic; hyperflex; Jacobian Girard, M., The group of Weierstrass points of a plane quartic with at least eight hyperflexes, Math. Comp., 75, 1561-1583, (2006) Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, Jacobians, Prym varieties The group of Weierstrass points of a plane quartic with at least eight hyperflexes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic mapping class group; conformal automorphisms; Klein curve Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Birational automorphisms, Cremona group and generalizations The automorphism group of the Klein curve in the mapping class group of genus 3 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic compact Riemann surfaces; automorphism groups; genus spectra; gap sequences; split metacyclic groups Weaver, A, Genus spectra for split metacyclic groups, Glasg. Math. J., 43, 209-218, (2001) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Automorphisms of surfaces and higher-dimensional varieties, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Group actions on manifolds and cell complexes in low dimensions, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences Genus spectra for split metacyclic groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass semigroup; double cover of a curve; rational ruled surface Plane curves of degree 4 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled surfaces On \(\gamma \)-hyperelliptic Weierstrass semigroups of genus \(6\gamma +1\) and \(6\gamma \) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Algebraic curves Plane and space curves, Riemann surfaces; Weierstrass points; gap sequences On the relations that necessarily exist between the periods of the quadratrice of the most general algebraic curve of degree \(m\) and, a fortiori,? | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; obstruction to the Hasse principle; Severi-Brauer varieties; quadrics; fields of rational functions Brauer groups of schemes, Global ground fields in algebraic geometry, Varieties over global fields, Arithmetic theory of algebraic function fields The Hasse principle for Brauer groups of function fields on the products of Severi-Brauer varieties and projective quadrics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chern class; Hodge bundle; moduli spaces of principally polarized abelian varieties; moduli space of curves with a level two structure; theta characteristic; Weierstrass points Hain, R; Reed, D, Geometric proofs of some results of Morita, J. Algebraic Geom., 10, 199-217, (2001) Families, moduli of curves (algebraic), Jacobians, Prym varieties, Fine and coarse moduli spaces, Classical real and complex (co)homology in algebraic geometry, Algebraic moduli of abelian varieties, classification, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic) Geometric proofs of some results of Morita | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic modular functions, automorphic functions, almost periodic functions Heins M.: On the pseudo-periods of the Weirstrass zeta-function. SIAM J. Numer. Anal. 3, 266--268 (1966) Modular and automorphic functions, Riemann surfaces; Weierstrass points; gap sequences, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the pseudoperiods of the Weierstrass zeta functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic special vector bundles; Abel-Jacobi map; moduli stacks Laumon, G., Fibrés vectoriels spéciaux, Bull. Soc. Math. France, 119, 1, 97-119, (1991) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences Fibrés vectoriels spéciaux. (Special vector bundles.) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic generic division algebra; generic n\(\times n\) matrices; stable rationality; centre; moduli spaces; cellular decomposition conjecture; finite-dimensional hereditary algebras; zeta-functions; tori-invariants Division rings and semisimple Artin rings, Vector and tensor algebra, theory of invariants, Rings with polynomial identity, Endomorphism rings; matrix rings, Arithmetic theory of algebraic function fields, Families, moduli of curves (algebraic) Centers of generic division algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surfaces; holomorphic functions; algebraic curves; de Rham cohomology; elliptic functions; elliptic integrals; uniformization; Jacobians; moduli spaces; deformations Donaldson, S., Riemann Surfaces, Oxford Graduate Texts in Mathematics, vol. 22, (2011), Oxford University Press: Oxford University Press Oxford Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic), Jacobians, Prym varieties, Conformal mappings of special domains Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic I. OYAMA: On uniform convergence of trigonometrical series, (in the press) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences Zur Theorie der hyperabelschen Funktionen. I, II, III, IV | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surfaces; Hurwitz groups; algebraic curves; Macbeath-Hurwitz curves; field of definition Streit M.: Field of definition and Galois orbits for the Macbeath--Hurwitz curves. Arch. Math. 74, 342--349 (2000) Riemann surfaces; Weierstrass points; gap sequences, Relevant commutative algebra, Compact Riemann surfaces and uniformization Field of definition and Galois orbits for the Macbeath-Hurwitz curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hypermaps; Belyi function; automorphism group of a Riemann surface; canonical curve; fixed points Streit, Manfred, Homology, Belyĭ\ functions and canonical curves, Manuscripta Math., 90, 4, 489-509, (1996) Riemann surfaces; Weierstrass points; gap sequences, Birational automorphisms, Cremona group and generalizations, Differentials on Riemann surfaces, Coverings of curves, fundamental group Homology, Belyĭfunctions and canonical curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem; function fields; Fourier transforms; adelic Poisson summation formula Li, X-J, A note on the Riemann-Roch theorem for function fields, No. 2, 567-570, (1996), Basel Arithmetic theory of algebraic function fields, Riemann-Roch theorems, Algebraic functions and function fields in algebraic geometry A note on the Riemann-Roch theorem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic infrastructure; fractional ideal; purely cubic function field Renate Scheidler, Ideal arithmetic and infrastructure in purely cubic function fields, J. Théor. Nombres Bordeaux 13 (2001), no. 2, 609 -- 631 (English, with English and French summaries). Arithmetic theory of algebraic function fields, Elliptic curves, Computational aspects and applications of commutative rings Ideal arithmetic and infrastructure in purely cubic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois extensions; inverse Galois theory; specialization; parametric extensions; twisting Dèbes, Pierre, Groups with no parametric Galois realizations, Ann. sci. éc. norm. supér., (2016), in press Inverse Galois theory, Arithmetic theory of algebraic function fields, Coverings in algebraic geometry, Ramification problems in algebraic geometry, Field arithmetic Groups with no parametric Galois realizations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cubic function field; discriminant; non-singularity; integral basis; signature of a place; class number DOI: 10.4153/CJM-2010-032-0 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus, Curves over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cubic and quartic extensions, Class numbers, class groups, discriminants, Applications to coding theory and cryptography of arithmetic geometry An explicit treatment of cubic function fields with applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; division algebras; central simple algebras; symbol algebras; cyclic algebras; cubic curves; ramification divisors; rational function fields [Fo] T. Ford,Division algebras that ramify only along a singular plane cubic curve, New York Journal of Mathematics1 (1995), 178--183, http://nyjm.albany.edu:8000/j/v1/ford.html. Finite-dimensional division rings, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry Division algebras that ramify only along a singular plane cubic curve | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Ramanujan cubic continued fraction; modular form; class field theory Cho, B., Koo, J.K., Park, Y.K.: On the Ramanujan's cubic continued fraction as modular function (submitted) Continued fraction calculations (number-theoretic aspects), Holomorphic modular forms of integral weight, Class field theory, Algebraic numbers; rings of algebraic integers, Riemann surfaces; Weierstrass points; gap sequences On Ramanujan's cubic continued fraction as a modular function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic triangulations of Riemann surfaces; ramified coverings of Riemann surfaces; irreducible characters of the symmetric group Klyachko, A.; Kurtaran, E.: Some identities and asymptotics for characters of the symmetric group. J. algebra 206, 413-437 (1998) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Representations of finite symmetric groups, Combinatorial aspects of representation theory Some identities and asymptotics for characters of the symmetric group | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surfaces; inhomogeneous Cauchy-Riemann equation with \(L^{2}\) estimates; holomorphic line bundle with positive curvature; subharmonic exhaustion function; divisor; uniformization theorem; biholomorphic classification of Riemann surfaces; Teichmüller theory T.~Napier, M.~Ramachandran: {\em An Introduction to Riemann Surfaces}, Springer (2011). DOI 10.1007/978-0-8176-4693-6; zbl 1237.30001; MR3014916 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Harmonic functions on Riemann surfaces, Differentials on Riemann surfaces, Conformal metrics (hyperbolic, Poincaré, distance functions), Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems An introduction to Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kac-Moody algebras; Krichever-Novikov algebras; affine algebras; almost graded algebras; central extensions; Weyl-Kac character formula; highest weight modules; coadjoint orbit method Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Riemann surfaces; Weierstrass points; gap sequences, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Orbits and representation of Krichever-Novikov affine-type algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces Basis of quadratic differentials for Riemann surfaces with automorphisms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curves over algebraic number fields; Nevanlinna theory; Mordell conjecture; hyperbolic geometry Rational points, Arithmetic ground fields for curves, Hyperbolic and Kobayashi hyperbolic manifolds, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Value distribution theory in higher dimensions, Arithmetic theory of algebraic function fields Arithmetic and hyperbolic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperelliptic continued fraction expansions; Baby-Step Giant-Step algorithm; algebro-geometric methods Arithmetic theory of algebraic function fields, Algebraic number theory computations, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) Continued fractions in hyperelliptic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Artin-Schreier type extensions; function fields; character sums; cyclic codes; trace codes; Wolfmann's bound Güneri C., Özbudak F.: Artin--Schreier extensions and their applications. In: Garcia, A., Stichtenoth, H.(eds) Topics in Geometry, Coding Theory and Cryptography, Algebra and Applications, vol. 6, pp. 105--133. Springer, Dordrecht (2007) Arithmetic theory of algebraic function fields, Weyl sums, Algebraic functions and function fields in algebraic geometry, Cyclic codes, Geometric methods (including applications of algebraic geometry) applied to coding theory, Other abelian and metabelian extensions Artin-Schreier extensions and their applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cuspidal curves; Weierstrass gap sequences; Gorenstein curves Singularities of curves, local rings, Riemann surfaces; Weierstrass points; gap sequences Special subschemes on cuspidal curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass point; Weierstrass pair; plane curve; nodal curve; Weierstrass triples Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves, Singularities of curves, local rings Weierstrass points and Weierstrass pairs on singular plane curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass points; modular curves; elliptic modular forms; congruence subgroups Kilger, K., Weierstrass points on \(X_0(p l)\) and arithmetic properties of Fourier coefficients of cusp forms, Ramanujan J., 17, 321-330, (2008) Riemann surfaces; Weierstrass points; gap sequences, Holomorphic modular forms of integral weight, Fourier coefficients of automorphic forms, Arithmetic aspects of modular and Shimura varieties Weierstrass points on \(X _{0}(p \ell )\) and arithmetic properties of Fourier coefficients of cusp forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic affine algebraic curve; place at infinity; ideal quotient; Gröbner basis; algebraic geometry code; Weierstraß semigroup; Riemann-Roch space 11. Matsumoto, R., Miura, S.: Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve. J. Symb. Comput. 30 (3), 309-323 (2000). Computational aspects of algebraic curves, Geometric methods (including applications of algebraic geometry) applied to coding theory, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves, Riemann surfaces; Weierstrass points; gap sequences Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bilinear complexity; finite fields; algebraic function fields; algebraic curves Ballet, Stéphane; Chaumine, Jean, On the bounds of the bilinear complexity of multiplication in some finite fields, Appl. Algebra Engrg. Comm. Comput., 0938-1279, 15, 3-4, 205-211, (2004) Curves over finite and local fields, Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Number-theoretic algorithms; complexity, Finite ground fields in algebraic geometry, Analysis of algorithms and problem complexity On the bounds of the bilinear complexity of multiplication in some finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic involutions on Riemann surfaces; symmetric surfaces; automorphism groups; anticonformal automorphisms; conjugacy classes of symmetries; Klein surfaces Gromadzki, G., Izquierdo, M.: Real forms of a Riemann surface of even genus. Proc. Am. Math. Soc. 126(12), 3475--3479 (1998) Braid groups; Artin groups, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Hyperbolic and elliptic geometries (general) and generalizations, Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces, Topology of real algebraic varieties, Generators, relations, and presentations of groups Real forms of a Riemann surface of even genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real quadratic function fields; Ankeny-Artin-Chowla theorem; function fields; fundamental unit Yu, J.; Yu, J. -K.: A note on a geometric analogue of ankeny--Artin--chowla's conjecture. (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Units and factorization A note on a geometric analogue of Ankeny-Artin-Chowla's conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; ramification; Abhyankar's Lemma Anbar, N.; Stichtenoth, H.; Tutdere, S., On ramification in the compositum of function fields, Bull. Braz. Math. Soc. (N.S.), 40, 4, 539-552, (2009) Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields On ramification in the compositum of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hasse-Witt matrix; hyperelliptic curves; hyperelliptic function fields; algebraic function field; class number; supersingular T. Washio and T. Kodama: A note on a supersingular function field. Sci. Bull. Fac. Ed. Nagasaki Univ., 37, 17-21 (1986). Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry A note on a supersingular function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wilson and 't Hooft line operators Amariti, A.; Orlando, D.; Reffert, S., Line operators from M-branes on compact Riemann surfaces, (2016) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Riemann surfaces; Weierstrass points; gap sequences, Kaluza-Klein and other higher-dimensional theories Line operators from M-branes on compact Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Thue-Siegel theorem; Faltings theorem; generalisation of Roth's theorem and Mordell's conjecture; Arakelov theory; arithmetic divisors; arithmetic discriminant; height; effective divisor Vojta, P., \textit{A generalization of theorems of faltings and thue-Siegel-Roth-wirsing}, J. Amer. Math. Soc., 5, 763-804, (1992) Diophantine inequalities, Arithmetic varieties and schemes; Arakelov theory; heights A generalization of theorems of Faltings and Thue-Siegel-Roth-Wirsing | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ramification point; exceptional Weierstrass point; dimensions of subvarieties; deformation theory Diaz, S., Tangent spaces in moduli via deformations with applications to Weierstrass points, Duke Math. J., 51, 905-922, (1984) Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Formal methods and deformations in algebraic geometry Tangent spaces in moduli via deformations with applications to Weierstrass points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic affine algebraic curve; algebraic geometry code; Gröbner basis; Weierstrass semigroup; divisor; Riemann-Roch space Computational aspects of algebraic curves, Geometric methods (including applications of algebraic geometry) applied to coding theory, Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves Computing a basis of \({\mathfrak L} (D)\) on an affine algebraic curve with one rational place at infinity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic degeneration of linear series on smooth curves; moduli space; Schubert calculus; Kodaira dimension; Weierstrass points D. Eisenbud, J. Harris, Limit linear series: basic theory. \textit{Invent. Math.}\textbf{85} (1986), 337-371. Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Formal methods and deformations in algebraic geometry, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences Limit linear series: Basic theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstraß point; Weierstraß gap; Weierstraß weight DOI: 10.1007/BF01265343 Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Weight sequences versus gap sequences at singular points of Gorenstein curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Çakçak, E.; Özbudak, F., Number of rational places of subfields of the function field of the Deligne-Lusztig curve of ree type, \textit{Acta Arith}, 120, 1, 79-106, (2005) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic spectral curves; complex manifolds; supersymmetric gauge models; Picard Fuchs equations; Calabi Yau models; 1D SL(2) Calogero Ruijsenaars model; meromorphic differential; Whitham flows H. Itoyama and A. Morozov, \textit{Prepotential and the Seiberg-Witten theory}, \textit{Nucl. Phys.}\textbf{B 491} (1997) 529 [hep-th/9512161] [INSPIRE]. Applications of compact analytic spaces to the sciences, Supersymmetric field theories in quantum mechanics, Structure of families (Picard-Lefschetz, monodromy, etc.), Riemann surfaces; Weierstrass points; gap sequences, Yang-Mills and other gauge theories in quantum field theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory Prepotential and the Seiberg-Witten theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic-geometry codes; function field tower; Gilbert-Varshamov bound; Garcia-Stichtenoth tower Aleshnikov, I.; Kumar, V.P.; Shum, K.W.; Stichtenoth, H., On the splitting of places in a tower of function fields meeting the Drinfeld-vlădųt bound, IEEE trans. inf. theory, 47, 4, 1613-1619, (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Bounds on codes, Arithmetic theory of algebraic function fields On the splitting of places in a tower of function fields meeting the Drinfeld-Vlăduţ bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Geyer, W. D.; Martens, G.: Überlagerungen berandeter kleinscher, Flächen. math. Ann. 228, 101-111 (1977) Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry, Separable extensions, Galois theory, Arithmetic theory of algebraic function fields Überlagerungen berandeter Kleinscher Flächen | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois covers; rational pullback; inverse Galois theory Ramification problems in algebraic geometry, Inverse Galois theory, Arithmetic theory of algebraic function fields, Coverings in algebraic geometry, Field arithmetic, Arithmetic algebraic geometry (Diophantine geometry) Rational pullbacks of Galois covers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic compact Riemann surfaces; complex algebraic curves; number of components of the real points Bujalance, E.; Costa, A. F.; Gamboa, J. M.: Real parts of complex algebraic curves. Lecture notes in math. 1420, 81-110 (1990) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Topology of real algebraic varieties, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Other geometric groups, including crystallographic groups, Curves in algebraic geometry Real parts of complex algebraic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstraß points; first gap Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Families, moduli of curves (algebraic) \(n\)-foliations and Weierstrass points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups; compact Riemann surfaces; Fuchsian groups Bujalance, E., Cirre, F.J., Conder, M.: On extendability of group actions on compact Riemann surfaces. Trans. Amer. Math. Soc. \textbf{355}(4), 1537-1557 (2003) (electronic) Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Other groups related to topology or analysis On extendability of group actions on compact Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Leonardo Zapponi, The arithmetic of prime degree trees, Int. Math. Res. Not. 4 (2002), 211 -- 219. Coverings of curves, fundamental group, Arithmetic algebraic geometry (Diophantine geometry), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Riemann surfaces; Weierstrass points; gap sequences The arithmetic of prime degree trees | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Harder, Günter, Lectures on Algebraic Geometry I, (2011), Vieweg+Teubner: Vieweg+Teubner Heidelberg, Germany Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences, Analytic theory of abelian varieties; abelian integrals and differentials Lectures on algebraic geometry. I. Sheaves, cohomology of sheaves, and applications to Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Elliptic functions; Hyperelliptic functions; Abelian integrals Riemann surfaces; Weierstrass points; gap sequences, Elliptic functions and integrals Lectures on Riemann's theory of Abelian integrals. Second completely revised and essentially extended edition. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gauss' genus theory; class number formula for tori Algebraic number theory, (1986), CasselsJ. W. S.J. W. S., London Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Galois theory Algebraic groups and number theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic inflection point; Weierstrass point; Weierstrass non-gaps Riemann surfaces; Weierstrass points; gap sequences Weierstrass semigroups at inflection points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields; non-special divisors; non-special subsets; Weierstrass \(n\)-semigroup; finite field Riemann surfaces; Weierstrass points; gap sequences, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Non-special subsets of the set of points of a curve defined over a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperellipticity of compact Riemann surfaces Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group \(\gamma\)-hyperellipticity and weights of Weierstrass points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic intersection multiplicities; order sequence; Weierstrass points Riemann surfaces; Weierstrass points; gap sequences On Esteves' inequality of order sequences of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic projective curves; compact Riemann surfaces; meromorphic differentials; Jacobian; theta functions D. Korotkin, Introduction to the functions on compact Riemann surfaces and theta-functions, in: D. Wojcik and J. Cieslinski (eds.), Nonlinearity and Geometry, Polish Scient. Publ. PWN, Warsaw, 1998, pp. 109--139; Preprint arXiv:solv-int/9911002. Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Theta functions and abelian varieties Introduction to the functions on compact Riemann surfaces and theta-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algorithm; orders; ramification indices; homeomorphisms; compact surfaces Rodríguez, J.: Some Results on Abelian Groups of Automorphisms of Compact Riemann Surfaces, Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces, pp. 283-297. Contemp. Math., vol. 629. Amer. Math. Soc., Providence (2014) Software, source code, etc. for problems pertaining to manifolds and cell complexes, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences An algorithm to compute orders and ramification indices of cyclic actions on compact surfaces. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass semigroup; plane curve, inflection points Kang, E; Kim, SJ, A Weierstrass semigroup at a pair of inflection points on a smooth plane curve, Bull Korean Math. Soc., 44, 369-378, (2007) Riemann surfaces; Weierstrass points; gap sequences, Special divisors on curves (gonality, Brill-Noether theory), Special algebraic curves and curves of low genus, Applications to coding theory and cryptography of arithmetic geometry A Weierstrass semigroup at a pair of inflection points on a smooth plane curve | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dessins d'enfants; Galois actions; hyperelliptic curves [5] E. Girondo and G. Gonz'alez-Diez, A note on the action of the absolute Galois group on dessins,Bull. London Math. Soc.39 No. 5 (2007), 721--723, 10.1112/blms/bdm035. Riemann surfaces; Weierstrass points; gap sequences, Galois theory, Compact Riemann surfaces and uniformization A note on the action of the absolute Galois group on dessins | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass points Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces, Coverings of curves, fundamental group Gap sequences on Klein surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Modular and automorphic functions, Arithmetic theory of algebraic function fields On \((\infty\times p)\)-adic coverings of curves (the simplest example) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gauss' genus theory; class number formula for tori Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Galois theory Algebraic groups and number theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic subvarieties of the moduli space of curves; Weierstrass points; universal family; \(n\)-sheeted coverings Enrico Arbarello, On subvarieties of the moduli space of curves of genus \? defined in terms of Weierstrass points, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 15 (1978), no. 1, 3 -- 20 (English, with Italian summary). Families, moduli of curves (analytic), Ramification problems in algebraic geometry, Coverings of curves, fundamental group, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences On subvarieties of the moduli space of curves of genus \(g\) defined in terms of Weierstrass points | 0 |
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