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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 10.1090/S0002-9939-2014-11899-5 Riemann surfaces; Weierstrass points; gap sequences, Rational and unirational varieties, Special algebraic curves and curves of low genus, Rationality questions in algebraic geometry, Families, moduli of curves (algebraic)
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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 Skew fields, division rings, Arithmetic theory of algebraic function fields, Algebraic theory of abelian varieties
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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 David Harari, ``Le défaut d'approximation forte pour les groupes algébriques commutatifs'', Algebra Number Theory2 (2008) no. 5, p. 595-611 Group schemes, Galois cohomology, Approximation in non-Archimedean valuations, Adèle rings and groups
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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 Berger, Lisa; Hoelscher, Jing Long; Lee, Yoonjin; Paulhus, Jennifer; Scheidler, Renate: The \(\ell \)-rank structure of a global function field, Fields inst. Commun. 60, 145-166 (2011) Arithmetic theory of algebraic function fields, Class groups and Picard groups of orders, Algebraic number theory computations, Computational aspects of algebraic curves, Algebraic functions and function fields in algebraic geometry
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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 Riemann surfaces; Weierstrass points; gap sequences
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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 Contiero, A.; Moreira, C. G. T. A.; Veloso, P. M., On the structure of numerical sparse semigroups and applications to Weierstrass points, J. Pure Appl. Algebra, 219, 3946-3957, (2015) Commutative semigroups, Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves
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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 Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Curves over finite and local fields, Commutative semigroups, Families, moduli of curves (algebraic)
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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 V. G. Drinfel\(^{\prime}\)d, Two-dimensional \?-adic representations of the Galois group of a global field of characteristic \? and automorphic forms on \?\?(2), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 134 (1984), 138 -- 156 (Russian, with English summary). Automorphic functions and number theory, II. Langlands-Weil conjectures, nonabelian class field theory, Representations of Lie and linear algebraic groups over global fields and adèle rings, Representation-theoretic methods; automorphic representations over local and global fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields
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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 \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Riemann surfaces; Weierstrass points; gap sequences, Elliptic curves
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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 Gamboa, JM, Compact Klein surfaces with boundary viewed as real compact smooth algebraic curves, Mem. Real Acad. Cienc. Exact. Fís. Nat. Madr., 27, iv+96, (1991) Arithmetic ground fields for curves, Klein surfaces, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Arithmetic theory of algebraic function fields
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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 doi:10.1016/S0550-3213(99)00510-6 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between algebraic curves and physics, Riemann surfaces; Weierstrass points; gap sequences, Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics
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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 Deopurkar, A.: Compactifications of Hurwitz spaces, Int. math. Res. not. IMRN (2013) Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Stacks and moduli problems, Compactifications; symmetric and spherical varieties, Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences
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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 Coppens, M, The Weierstrass gap sequences of the total ramification points of trigonal coverings of \(\mathbb{P}^1\), Indag. Math., 47, 245-270, (1985) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Compact Riemann surfaces and uniformization
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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 Jacobians, Prym varieties, Elliptic curves, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences, Subvarieties of abelian varieties, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
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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 Silhol R., Complex Manifolds and Hyperbolic Geometry 311 pp 313-- (2001) Theta functions and curves; Schottky problem, Compact Riemann surfaces and uniformization, Period matrices, variation of Hodge structure; degenerations, Riemann surfaces; Weierstrass points; gap sequences
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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 Nakajima, S., Equivariant form of the Deuring-šafarevič formula for Hasse-Witt invariants, Math. Z., 190, 559-566, (1985) Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves, Galois theory, Arithmetic theory of algebraic function fields
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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 Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences
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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 Riemann surfaces; Weierstrass points; gap sequences, Teichmüller theory for Riemann surfaces, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
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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 Viana, PH; Rodriguez, JEA, Eventually minimal curves, Bull. Braz. Math. Soc, 36, 39-58, (2005) Arithmetic ground fields for curves, Curves over finite and local fields, Rational points, Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus
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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 K. Shiihara and T. Sasaki, Analytic continuation and Riemann surface determination of algebraic functions by computer. Japan J. Indust. Appl. Math.,13 (1996), 107--116. Numerical computation of solutions to single equations, Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
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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 Rational points, Heights, Families, moduli of curves (algebraic), Diophantine equations, Arithmetic ground fields for curves
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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 Girondo, E; González-Diez, G, Genus two extremal surfaces: extremal discs, isometries and Weierstrass points, Isr. J. Math., 132, 221-238, (2002) Compact Riemann surfaces and uniformization, General geometric structures on low-dimensional manifolds, Riemann surfaces; Weierstrass points; gap sequences
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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 J. D. Achter, ''Results of Cohen-Lenstra type for quadratic function fields,'' in Computational Arithmetic Geometry, Providence, RI: Amer. Math. Soc., 2008, vol. 463, pp. 1-7. Curves over finite and local fields, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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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 Riemann surfaces; Weierstrass points; gap sequences
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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 D. BROWNAWELL - D. MASSER, Vanishing sums in function fields, Math. Proc. Camb. Phil. Soc., 100 (1986), pp. 427-434. Zbl0612.10010 MR857720 Higher degree equations; Fermat's equation, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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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 Klein surfaces, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences
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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 10.4310/MRL.2008.v15.n6.a9 Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Diophantine inequalities
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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 R. de Mello Koch, S. Ramgoolam, and C. Wen, On the refined counting of graphs on surfaces. Nuclear Phys. B 870 (2013), 530-581. Feynman diagrams, Applications of graph theory, Riemann surfaces; Weierstrass points; gap sequences, \(2\)-body potential quantum scattering theory, Electromagnetic interaction; quantum electrodynamics, Yang-Mills and other gauge theories in quantum field theory, Topological field theories in quantum mechanics
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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 C. Fuchs and D. H. Pham, ''Commutative algebraic groups and \(p\)-adic linear forms,'' http://arxiv.org/pdf/1404.4209v1.pdf (2014). Linear forms in logarithms; Baker's method, Arithmetic algebraic geometry (Diophantine geometry), Approximation in non-Archimedean valuations, Group varieties
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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 DOI: 10.1007/978-3-0346-0288-4_7 Varieties over finite and local fields, Quaternion and other division algebras: arithmetic, zeta functions, Arithmetic theory of algebraic function fields, Algebraic moduli problems, moduli of vector bundles
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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 Fontanari C.: Moduli of curves via algebraic geometry. Liaison and related topics (Turin, 2001). Rend. Sem. Mat. Univ. Politec. Torino 59(2), 137--139 (2003) Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences
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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 Chudnovsky, D. V., Chudnovsky, G. V.: Algebraic complexities and algebraic curves over finite fields. Proc. Natl. Acad. Sci. USA84, 1739--1743 (1987) Analysis of algorithms and problem complexity, Software, source code, etc. for problems pertaining to field theory, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
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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 Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves
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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 Ernst-Ulrich Gekeler, Drinfel\(^{\prime}\)d modular curves, Lecture Notes in Mathematics, vol. 1231, Springer-Verlag, Berlin, 1986. Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic ground fields for curves, Modular forms associated to Drinfel'd modules, Global ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic theory of algebraic function fields
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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 Lang S: \textit{Elliptic Functions}. 2nd edition. Springer, New York; 1987. Curves in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Modular and automorphic functions, Algebraic functions and function fields in algebraic geometry, Complex multiplication and moduli of abelian varieties, Complex multiplication and abelian varieties, Research exposition (monographs, survey articles) pertaining to field theory
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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 Le Brigand, D.: Classification of algebraic function fields with divisor class number two. Finite fields appl. 2, 153-172 (1996) Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
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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 Korchmáros, G.; Nagy, G.P., Lower bounds on the minimum distance in Hermitian one-point differential codes, Sci. China math., 56, 1449-1455, (2013) Applications to coding theory and cryptography of arithmetic geometry, Riemann surfaces; Weierstrass points; gap sequences, Algebraic coding theory; cryptography (number-theoretic aspects), Curves over finite and local fields, Geometric methods (including applications of algebraic geometry) applied to coding theory
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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 Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields
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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 Enrico Bombieri & Jonathan Pila, ``The number of integral points on arcs and ovals'', Duke Math. J.59 (1989) no. 2, p. 337-357 Lattice points in specified regions, Diophantine equations, Lattices and convex bodies (number-theoretic aspects), Arithmetic algebraic geometry (Diophantine geometry), Rational points, Arithmetic problems in algebraic geometry; Diophantine geometry
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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 Lax, R.F., Widland, C.: Gap sequences at a singularity, Pac. J. Math.150, 111--122 (1991) Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Riemann surfaces; Weierstrass points; gap sequences
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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 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Automorphisms of curves, Applications to coding theory and cryptography of arithmetic geometry
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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 Riemann surfaces; Weierstrass points; gap sequences, Modular and automorphic functions, Partitions; congruences and congruential restrictions
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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 Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization
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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 Gothen, Peter B., The {B}etti numbers of the moduli space of stable rank~{\(3\)} {H}iggs bundles on a {R}iemann surface, International Journal of Mathematics, 5, 6, 861-875, (1994) Vector bundles on curves and their moduli, Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Families, moduli of curves (analytic), Étale and other Grothendieck topologies and (co)homologies, Riemann surfaces
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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 Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry, Quadratic extensions
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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 Goldschmidt, D. M.: Algebraic functions and projective curves, Grad texts in math. 215 (2003) Algebraic functions and function fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Arithmetic theory of algebraic function fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Applications to coding theory and cryptography of arithmetic geometry
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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 Riemann surfaces; Weierstrass points; gap sequences, Special divisors on curves (gonality, Brill-Noether theory)
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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 Bassa, A.; Beelen, P.: On the construction of Galois towers, Contemp. math. 487, 9-20 (2009) Algebraic functions and function fields in algebraic geometry, Galois theory, Arithmetic theory of algebraic function fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
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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 Jean-François Burnol, Weierstrass points on arithmetic surfaces, Invent. Math. 107 (1992), no. 2, 421 -- 432. Arithmetic varieties and schemes; Arakelov theory; heights, Riemann surfaces; Weierstrass points; gap sequences
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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 Arnaud Beauville, Sur la cohomologie de certains espaces de modules de fibrés vectoriels, Geometry and analysis (Bombay, 1992) Tata Inst. Fund. Res., Bombay, 1995, pp. 37 -- 40 (French). Classical real and complex (co)homology in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Characteristic classes and numbers in differential topology, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli
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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 Separable extensions, Galois theory, Classification theory of Riemann surfaces, Research exposition (monographs, survey articles) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, 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
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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 Étale and other Grothendieck topologies and (co)homologies, Abelian varieties of dimension \(> 1\), Group schemes, Arithmetic theory of algebraic function fields, Algebraic theory of abelian varieties
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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 KdV equations (Korteweg-de Vries equations), Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic)
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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 Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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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 Topology of real algebraic varieties, Theta functions and abelian varieties, Riemann surfaces; Weierstrass points; gap sequences
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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 Komeda, J.; Matsutani, S.; Previato, E., The sigma function for Weierstrass semigroups \(\langle 3,7,8\rangle \) and \(\langle 6,13,14,15,16\rangle \), Int. J. Math., 24, 1350085, 58, (2013) Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves, Analytic theory of abelian varieties; abelian integrals and differentials
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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 [14]S. Paulus and H.-G. Rück, Real and imaginary quadratic representations of hyperelliptic function fields, Math. Comput. 68 (1999), 1233--1241. Arithmetic theory of algebraic function fields, Class groups and Picard groups of orders, Computational aspects of algebraic curves, Algebraic functions and function fields in algebraic geometry
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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 Arithmetic ground fields for curves, Software, source code, etc. for problems pertaining to algebraic geometry, Software, source code, etc. for problems pertaining to field theory, Divisors, linear systems, invertible sheaves, Arithmetic theory of algebraic function fields
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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 Hausel, Tamás, Compactification of moduli of {H}iggs bundles, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 503, 169-192, (1998) Families, moduli of curves (algebraic), Compactification of analytic spaces, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli
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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 Singh B. On the group of automorphisms of a function field of genus at least two. J Pure Appl Algebra, 4: 205--229 (1975) Arithmetic theory of algebraic function fields, Ramification and extension theory, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry
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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 Forstnerič, F.; Wold, E.F., Embeddings of infinitely connected planar domains into \(\mathbb{C}^2\), Anal. PDE, 6, 2, 499-514, (2013) Embedding of analytic spaces, Stein spaces, Automorphism groups of \(\mathbb{C}^n\) and affine manifolds, Riemann surfaces; Weierstrass points; gap sequences
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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 Matthews G.L.: The Weierstrass semigroup of an \(m\)-tuple of collinear points on a Hermitian curve. In: Mullen G.L., Poli A., Stichtenoth H. (eds.) Finite Fields and Applications: 7th International Conference, Fq7, Toulouse, France, 5-9 May 2003, pp. 12-24. Springer, Berlin Heidelberg (2004). 10.1007/978-3-540-24633-6_2. Geometric methods (including applications of algebraic geometry) applied to coding theory, Riemann surfaces; Weierstrass points; gap sequences, Bounds on codes
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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 Badr, Eslam and Bars, Francesc and Lorenzo García, Elisa, On twists of smooth plane curves, Mathematics of Computation, (None) Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Plane and space curves, Special algebraic curves and curves of low genus
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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 [Miy] Miyanishi, M.: Unirational quasi-elliptic surfaces. Japan J. Math.3, 395--416 (1977) Families, moduli, classification: algebraic theory, Arithmetic theory of algebraic function fields, Special surfaces, Rational and unirational varieties
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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 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Representations of groups as automorphism groups of algebraic systems
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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 Gamburd, A. and Makover, E. (2002). On the genus of a random Riemann surface. Contemp. Math. 311 133--140. Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Random graphs (graph-theoretic aspects), Combinatorial probability
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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 R. Brooks and E. Makover, ''Belyi Surfaces,'' in Entire Functions in Modern Analysis (Bar-Ilan Univ., Ramat-Gan, 2001), Isr. Math. Conf. Proc. 15, pp. 37--46. Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences
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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 E. Artin, Algebraic Numbers and Algebraic Functions, Gordon and Breach, New York, 1967. Research exposition (monographs, survey articles) pertaining to number theory, Class field theory, Class field theory; \(p\)-adic formal groups, Ramification and extension theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Collected or selected works; reprintings or translations of classics
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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 Riemann surfaces; Weierstrass points; gap sequences, Commutative rings of differential operators and their modules
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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 England M., Deriving bases for Abelian functions, Comput. Methods Funct. Theory, 2011, 11(2), 617--654 Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Theta functions and abelian varieties, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relationships between algebraic curves and integrable systems
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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 Leonard, D. A.: Finding the missing functions for one-point AG codes. IEEE trans. Inform. theory 47, No. 6, 2566-2573 (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Arithmetic theory of algebraic function fields
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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 Kichoon Yang, Compact Riemann surfaces and algebraic curves, Series in Pure Mathematics, vol. 10, World Scientific Publishing Co., Singapore, 1988. Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
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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 Ballet, Stéphane; Le Brigand, Dominique; Rolland, Robert, On an application of the definition field descent of a tower of function fields.Arithmetics, geometry, and coding theory (AGCT 2005), Sémin. Congr. 21, 187-203, (2010), Soc. Math. France, Paris Number-theoretic algorithms; complexity, Curves over finite and local fields, Arithmetic theory of algebraic function fields, Arithmetic ground fields for curves
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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 Castellanos, A.S., Tizziotti, G.: On Weierstrass semigroup at \(m\) points on curves of the form \(f(y) = g(x)\). J. Pure Appl. Algebra (2017). https://doi.org/10.1016/j.jpaa.2017.08.007 Riemann surfaces; Weierstrass points; gap sequences, Curves over finite and local fields
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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 Arithmetic theory of algebraic function fields, Curves over finite and local fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry
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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 DOI: 10.4310/MRL.2000.v7.n1.a6 Automorphisms of curves, Arithmetic algebraic geometry (Diophantine geometry), Riemann surfaces; Weierstrass points; gap sequences
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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 \(K3\) surfaces and Enriques surfaces, Coverings of curves, fundamental group, Plane and space curves, Riemann surfaces; Weierstrass points; gap sequences, Commutative semigroups
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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 Diophantine equations, Enumerative problems (combinatorial problems) in algebraic geometry
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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 Commutative semigroups, Riemann surfaces; Weierstrass points; gap sequences
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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 Riemann surfaces; Weierstrass points; gap sequences, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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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 Arithmetic ground fields for curves, Riemann surfaces; Weierstrass points; gap sequences, Geometric methods (including applications of algebraic geometry) applied to coding theory
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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 Ciro Ciliberto and Claudio Pedrini, Real abelian varieties and real algebraic curves, Lectures in real geometry (Madrid, 1994) De Gruyter Exp. Math., vol. 23, de Gruyter, Berlin, 1996, pp. 167 -- 256. Analytic theory of abelian varieties; abelian integrals and differentials, Riemann surfaces; Weierstrass points; gap sequences, Real-analytic and semi-analytic sets, Real-analytic manifolds, real-analytic spaces, Compact Riemann surfaces and uniformization
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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 Komeda, J.: On the existence of Weierstrass points whose first non gaps are five. Manuscripta Math. \textbf{76} (1992) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences
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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 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Polynomials in real and complex fields: location of zeros (algebraic theorems), Equations in general fields, Compact Riemann surfaces and uniformization, Separable extensions, Galois theory, Riemann surfaces; Weierstrass points; gap sequences
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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 Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Automorphisms of curves
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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 Gromadzki, G.; Szepietowski, B.: On topological type of periodic self-homeomorphisms of closed non-orientable surfaces. Rev. R. Acad. cienc. Exactas fís. Nat., ser. A mat., RACSAM (2015) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Group actions on manifolds and cell complexes in low dimensions
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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 Multiplicative and norm form equations, Special algebraic curves and curves of low genus, Continued fractions, Arithmetic theory of algebraic function fields
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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 Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Plane and space curves
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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 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Transcendental field extensions, Galois theory
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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 Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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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 Esteves, E.; Homma, M., Order sequences and rational curves, 27-42, (1994), Dekker, New York Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves
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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 D. V. Chudnovsky and G. V. Chudnovsky, ''Algebraic complexities and algebraic curves over finite fields,'' J. Complexity, 4, 285--316 (1988). Analysis of algorithms and problem complexity, Arithmetic codes, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry, Riemann-Roch theorems
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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 V. P. Burskiĭ and A. S. Zhedanov, The Dirichlet problem for the equation of string vibration, the Poncelet problem, the Pell-Abel equation, and some other related problems, Ukraïn. Mat. Zh. 58 (2006), no. 4, 435 -- 450 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J. 58 (2006), no. 4, 487 -- 504. Initial-boundary value problems for second-order hyperbolic equations, Wave equation, Diophantine equations, Projective techniques in algebraic geometry, Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
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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 Differentials on Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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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 W. Goldring, ''Unifying themes suggested by Belyi's theorem,'' in: \textit{Number Theory, Analysis and Geometry}, Springer-Verlag (2011), pp. 181-214. Arithmetic aspects of dessins d'enfants, Belyĭ theory, Diophantine equations, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Coverings of curves, fundamental group
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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 Esteves, E, Linear systems and ramification points on reducible nodal curves, Mathematica Contemporanea, 14, 21-35, (1998) Divisors, linear systems, invertible sheaves, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic)
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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 [2]A. Bassa and P. Beelen, The Hasse--Witt invariant in some towers of function fields over finite fields, Bull. Brazil. Math. Soc. 41 (2010), 567--582. Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry
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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 Izquierdo, M.; Singerman, D.: On the fixed-point set of automorphisms of non-orientable surfaces without boundary. Geom. \& topol. Monogr. 1, No. The Epstein Birthday Schrift, 295-301 (1998) Automorphisms of infinite 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, Other geometric groups, including crystallographic groups
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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 Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Representations of associative Artinian rings
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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 Wolfart, Jürgen, The ``obvious'' part of Belyi's theorem and Riemann surfaces with many automorphisms. Geometric Galois actions, 1, London Math. Soc. Lecture Note Ser. 242, 97-112, (1997), Cambridge Univ. Press, Cambridge Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group
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