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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 Galois subcovers; automorphisms Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry A new family of maximal 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 Gaussian map; Wahl map; multiple covering; gonality; total ramification Coverings of curves, fundamental group, Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences On the surjectivity of the canonical Gaussian map for multiple coverings | 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; singular algebraic curve; arithmetic genus Riemann-Roch theorems, Riemann surfaces; Weierstrass points; gap sequences The Riemann-Roch theorem on 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 semigroup of a point; 4-semigroup Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve. Serdica Math. J. 30, 43--54 (2004) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Jacobians, Prym varieties, Commutative semigroups Weierstrass points with first non-gap four on a double covering of a hyperelliptic 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 Weierstrass points; bielliptic curves; gap-sequences; triple cyclic coverings Ballico E., del Centina A.: Ramification points of double coverings of curves and Weierstrass points. Ann. di Mat. pura ed appl. (IV) 177, 293--313 (1999) Riemann surfaces; Weierstrass points; gap sequences, Elliptic curves, Coverings of curves, fundamental group Ramification points of double coverings of curves 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 Weierstraß points Martine Girard, Groupe des points de Weierstrass sur une famille de quartiques lisses, Preprint, December 1999. Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus Group of Weierstrass points on a family of smooth quartics. | 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 map; Hasse--Witt invariant; Hasse--Witt matrix; Witt vectors; holomorphic differentials; Cartier operator; maximal abelian extension Maldonado Ramírez, Cyclic p-extensions of function fields with null Hasse-Witt map, Int. Math. Forum 2 (49-52) pp 2463-- (2007) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Cyclic \(p\)-extensions of function fields with null Hasse-Witt map | 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 Graph; Riemann surface; Riemann-Roch theorem; Jacobian of a finite graph; chip-firing games M. Baker and S. Norine, \textit{Riemann--Roch and Abel--Jacobi theory on a finite graph}, Adv. Math., 215 (2007), pp. 766--788, . Paths and cycles, Riemann surfaces; Weierstrass points; gap sequences, Graphs and abstract algebra (groups, rings, fields, etc.) Riemann-Roch and Abel-Jacobi theory on a finite graph | 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 totally ramification point; Weierstrass semigroups Carvalho, C; Torres, F, On numerical semigroups related to covering of curves, Semigroup Forum, 67, 344-354, (2003) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group On numerical semigroups related to covering 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 Gatto, L.; Salehyan, P.: Families of special Weierstrass points, C. R. Acad. sci. Paris, ser. I 347, 1295-1298 (2009) Riemann surfaces; Weierstrass points; gap sequences Families of special 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 upper half plane; arithmetic groups; Fricke involution; genus Kim, C.H., Koo, J.K.: Estimation of genus for certain arithmetic groups. Commun. Algebra 32(7), 2479--2495 (2004) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Riemann surfaces; Weierstrass points; gap sequences Estimation of genus for certain arithmetic 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 \(abc\) conjecture; diophantine conjecture for algebraic points of bounded degree Vojta, Paul, A more general \(abc\) conjecture, Internat. Math. Res. Notices, 21, 1103-1116, (1998) Diophantine equations, Arithmetic algebraic geometry (Diophantine geometry), Linear Diophantine equations, Arithmetic problems in algebraic geometry; Diophantine geometry A more general \(abc\) 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 weighted projective space; mutation; \(T\)-singularity; lattice polytopes; toric varieties Akhtar, M.; Kasprzyk, A. M., Mutations of fake weighted projective planes, Proc. Edinb. Math. Soc. (2), 59, 2, 271-285, (2016) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Fano varieties, Diophantine equations Mutations of fake weighted projective planes | 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 abstract elliptic function fields; divisor class group of finite order Hasse, H., Zur theorie der abstrakten elliptischen funktionenkörper. I. die struktur der gruppe der divisorenklassen endlicher ordnung, J. Reine Angew. Math., 1936, 175, 55-62, (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Theorie der abstrakten elliptischen Funktionenkörper. I: Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung | 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 infinite dimensional Lie algebras, current algebras, gauge algebras, Kac-Moody algebras; Krichever-Novikov algebras; affine algebras; central extensions; fermionic representations; wedge representations; highest weight modules O. K. Sheinman, ''Krichever-Novikov Algebras, Their Representations and Applications,'' in Geometry, Topology, and Mathematical Physics. S. P. Novikov's Seminar 2002--2003, Ed. by V.M. Buchstaber and I.M. Krichever (Am. Math. Soc., Providence, R.I., 2004), pp. 297--316. Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann-Hilbert problems in context of PDEs, Riemann surfaces; Weierstrass points; gap sequences Affine Krichever-Novikov algebras, their representations and 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 Riemann surfaces. Algebraic curves Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences 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 Weierstrass gap sequences; gonality; gonal scroll Riemann surfaces; Weierstrass points; gap sequences, Special divisors on curves (gonality, Brill-Noether theory) Weierstrass jump sequences and gonality | 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 superalgebra; spin structure; BMRR-algebra; graded Riemann surfaces; Krichever-Novikov algebras; graded conformal vector fields Bryant, P.: Graded Riemann surfaces and Krichever-Novikov algebras. Lett. Math. Phys. 19, 97--108 (1990) Lie algebras of vector fields and related (super) algebras, Riemann surfaces; Weierstrass points; gap sequences, Applications of deformations of analytic structures to the sciences, Supermanifolds and graded manifolds, Analysis on supermanifolds or graded manifolds, Quantum field theory on curved space or space-time backgrounds, Supervarieties Graded Riemann surfaces and Krichever-Novikov 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 double section; dominating map; Riemann surface; uniformization map; Jacobian fibration Buzzard, G; Lu, S, Double sections, dominating maps, and the Jacobian fibration, Am. J. Math., 122, 1061-1084, (2000) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Complex surface and hypersurface singularities, Riemann surfaces; Weierstrass points; gap sequences, Singularities of surfaces or higher-dimensional varieties Double sections, dominating maps, and the Jacobian fibration | 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 Lie algebras; central extensions; conformal field theory; genus zero Lie algebras; infinite dimensional Lie algebras; Krichever-Novikov type algebras Schlichenmaier, M, \(N\)-point Virasoro algebras are multipoint krichever-Novikov-type algebras, Commun. Algebra, 45, 776-821, (2017) Infinite-dimensional Lie (super)algebras, Riemann surfaces; Weierstrass points; gap sequences, Cohomology of Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Differentials on Riemann surfaces, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations \(N\)-point Virasoro algebras are multipoint Krichever-Novikov-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 finite field; maximal curve; Suzuki curve; Weierstrass semigroup; Weierstrass points Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences Weierstrass semigroups on the Skabelund maximal 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 Weierstrass point; Gorenstein curve; Weierstrass weight Lax, R. F.: Weierstraß weights and degeneration,Proc. Amer. Math. Soc. 101 (1987), no. 1, 8-10. Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Weierstrass weight and degenerations | 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 fields of real algebraic functions; reduced Whitehead group; Hasse principle; norm mapping Class field theory, Algebraic functions and function fields in algebraic geometry, \(K\)-theory of global fields, Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Finite-dimensional division rings, Grothendieck groups, \(K\)-theory, etc. Norms in fields of real algebraic functions, and the reduced Whitehead 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 function fields; \(S\)-class groups; units; regulators; \(L\)-functions; Galois module structure Popescu C.D.: Gras-type conjectures for function fields. Compositio Mathematica 118, 263--290 (1999) Arithmetic theory of algebraic function fields, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry Gras-type conjectures 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 algebraically completely integrable systems; linearization in two dimensions; Kummer varieties; three-particle Toda lattice; action-angle variables; Lax pairs Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Transcendental methods of algebraic geometry (complex-analytic aspects) Linearization of integrable systems with two degrees of freedom | 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 cuspidal curve; Gorenstein singular curves; weight; higher order Weierstrass point Lax, R. F., Widland, C.: Weierstrass points on rational cuspidal curves, Boll. U.M.I.2-A, 65--71 (1988) Singularities of curves, local rings, Riemann surfaces; Weierstrass points; gap sequences, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus Weierstrass points on rational 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 trace formulas; Lax pairs; constants of motion Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Riemann surfaces; Weierstrass points; gap sequences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Generalizations of the Neumann system -- A curve theoretical approach. III: Order \(n\) systems | 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 specialization; algebraic covers; twisting lemma; Hilbert's irreducibility theorem; Grunwald's problem; PAC fields; local fields; global fields; Hurwitz spaces Dèbes, Pierre and Legrand, François Specialization results in Galois theory Trans. Amer. Math. Soc.365 (2013) 5259--5275 Math Reviews MR3074373 Coverings of curves, fundamental group, Arithmetic theory of algebraic function fields, Field arithmetic, Rational points Specialization results in Galois 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 Riemann surface; line bundle; Chern classes Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Geometry of Riemann surfaces and holomorphic linear 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 singular primes in function fields; extension of field of constants; genus Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (1988) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On singular primes in 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 Krichever-Novikov algebras; Witt algebra; deformations; rigidity Fialowski, A., Schlichenmaier, M.: Global deformations of the Witt algebra of Krichever-Novikov type. Commun. Contemp. Math. 5(6), 921--946 (2003) Lie algebras of vector fields and related (super) algebras, Formal methods and deformations in algebraic geometry, Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences, Homological methods in Lie (super)algebras, Virasoro and related algebras Global deformations of the Witt algebra of Krichever-Novikov 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 global function field; arithmetic equivalence; Gassmann equivalence; Weil zeta function; Goss zeta function J NUMBER THEORY 130 pp 1000-- (2010) Zeta and \(L\)-functions in characteristic \(p\), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Arithmetic equivalence for function fields, the Goss zeta function and a generalisation | 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 \(q\)-Weierstrass points; quartic curves; flexes; sextactic points; dectactic points Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves Weierstrass points of order three on smooth quartic 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 Shimura reciprocity law; arithmetic elliptic function field; automorphism group; Jacobi function of level N; Jacobi forms Arithmetic theory of algebraic function fields, Theta series; Weil representation; theta correspondences, Arithmetic ground fields (finite, local, global) and families or fibrations, Automorphic functions in symmetric domains La loi de réciprocité de Shimura pour les fonctions de Jacobi | 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 Belyi's theorem; compact orientable manifolds; Riemann surfaces; meromorphic function Planar graphs; geometric and topological aspects of graph theory, Riemann surfaces; Weierstrass points; gap sequences Maps and dessins d'enfants | 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 pairs; two-point Goppa codes; Goppa codes on Hermitian curves Matthews, G.L.: Weierstrass pairs and minimum distance of Goppa codes. Des. Codes Cryptogr. 22, 107--121 (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Riemann surfaces; Weierstrass points; gap sequences Weierstrass pairs and minimum distance of Goppa codes | 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 universal deformation of formal module; Galois character Keating, K. : Galois extensions associated to deformations of formal A-modules , J. Fac. Sci. Univ. Tokyo 37 (1990) 151-170. Formal groups, \(p\)-divisible groups, Class field theory; \(p\)-adic formal groups, Formal power series rings, Arithmetic theory of algebraic function fields Galois extensions associated to deformations of formal A-modules | 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 Fuchsian and NEC groups; symmetries; Riemann surfaces Turbek, Peter, Computing equations, automorphisms and symmetries of Riemann surfaces.Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces, Contemp. Math. 629, 335-348, (2014), Amer. Math. Soc., Providence, RI Automorphisms of curves, Fuchsian groups and their generalizations (group-theoretic aspects), Klein surfaces, Riemann surfaces; Weierstrass points; gap sequences Computing equations, automorphisms and symmetries of 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 finite fields; polynomials; curves with many points Lenstra, H. W., On a problem of garcia, stichtenoth, and Thomas, Finite Fields Appl., 8, 166-170, (2002) Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields On a problem of Garcia, Stichtenoth, and Thomas. | 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 Lie algebras of current type; local cocycles; central extensions; krichever- Novikov type algebras; Tyurin parameters Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Applications of Lie algebras and superalgebras to integrable systems, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Differentials on Riemann surfaces, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Almost-graded central extensions of Lax operator 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 compactification of the moduli space of Riemann surfaces; deformation space; Kleinian group Coverings of curves, fundamental group, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic) Schottky-like coverings | 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 genus; rational places; existence of algebraic function fields; Abelian extensions; different [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. Arithmetic theory of algebraic function fields, Class field theory, Other abelian and metabelian extensions, Algebraic functions and function fields in algebraic geometry On the different of Abelian extensions of global 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 transcendence; zeta-function; period; algebraic function field; Drinfeld module; modular function Jing Yu, Transcendence and Drinfel\(^{\prime}\)d modules, Invent. Math. 83 (1986), no. 3, 507 -- 517. Transcendence theory of Drinfel'd and \(t\)-modules, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Formal groups, \(p\)-divisible groups Transcendence and Drinfeld modules | 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 discriminant; Vojta's inequality; height; morphisms of curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Diophantine inequalities, Rational points, Global ground fields in algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves Arithmetic discriminants and morphisms 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 compact Riemann surfaces; Weierstrass points; Fuchsian groups; finite automorphism groups Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Finite automorphism groups of algebraic, geometric, or combinatorial structures Transitivity on 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 conformal field theories on Riemann surfaces; fractional supersymmetry conformal field theory DOI: 10.1142/S0217732398003041 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences Conformal field theory on \(\mathbb Z_ k\)-surfaces with exchange interactions | 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 triangle groups; congruence subgroups; quaternion algebras; systoles; semiarithmetic groups Arithmetic aspects of modular and Shimura varieties, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces Systolic length of triangular modular 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 holomorphic mappings; algebraic compactification; Gromov invariants; intersection numbers A. Bertram, G. Daskalopoulos, and R. Wentworth, Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians, J. Amer. Math. Soc., to appear. Riemann surfaces; Weierstrass points; gap sequences, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Algebraic moduli problems, moduli of vector bundles, Complex-analytic moduli problems, Moduli problems for differential geometric structures Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians | 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 Hermitian curve; Hermitian code; rational point; automorphism group Korchmáros, G; Speziali, P, Hermitian codes with automorphism group isomorphic to \(PGL(2,q)\) with \(q\) odd, Finite Fields Appl., 44, 1-17, (2017) 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, Applications to coding theory and cryptography of arithmetic geometry Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd | 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 K-theory; function field; elliptic curve; motivic cohomology Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Motivic cohomology; motivic homotopy theory, Whitehead groups and \(K_1\), Steinberg groups and \(K_2\), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) First and second \(K\)-groups of an elliptic curve over a global field 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 instability; nonlinear Schrödinger system; trigonal spectral curve; trigonal curves of genus one Wright, O. C.: Modulational instability in a defocusing coupled nonlinear Schrödinger system. Physica D 82, 1-10 (1995) NLS equations (nonlinear Schrödinger equations), Applications of dynamical systems, Riemann surfaces; Weierstrass points; gap sequences Modulational instability in a defocussing coupled nonlinear Schrödinger system | 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 map; Artin-Schreier extensions; semisimple differentials; Cartier operator Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel, Function field extensions with null Hasse-Witt map, Int. Math. J., 2, 4, 361-371, (2002), MR 1891121 (2003d:11172) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves Function field extensions with null Hasse-Witt map. | 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; orbifold; plane tiling; geometry of discrete type; generalized metrics Tilings in \(2\) dimensions (aspects of discrete geometry), Riemann surfaces; Weierstrass points; gap sequences, Quasicrystals and aperiodic tilings in discrete geometry About some Riemann surfaces and plane tilings | 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 Drinfel'd modules; higher-dimensional motives, etc., Geometric class field theory, Langlands-Weil conjectures, nonabelian class field theory, Arithmetic theory of algebraic function fields, Algebraic moduli problems, moduli of vector bundles, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology, Other transforms and operators of Fourier type, Local ground fields in algebraic geometry A new Fourier transform | 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 number fields, function fields Shafarevich, I.R.: Algebraic number fields. In: Proc. Internat. Congr. Mathematicians (Stockholm, 1962), pp. 163-176. Inst. Mittag-Leffler, Djursholm (1963) Research exposition (monographs, survey articles) pertaining to field theory, Arithmetic theory of algebraic function fields, Algebraic number theory: local fields, Research exposition (monographs, survey articles) pertaining to algebraic geometry Algebraic number 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 Brauer group; function field of the projective line Mestre, J.F. 1994.Annulation, par changement de variable, d'éléments de Br2(k(x)) ayant quatre pôles, SÉrie I Vol. 319, 529--532. Paris: C. R. Acad. Sci. Brauer groups of schemes, Arithmetic theory of algebraic function fields, Galois cohomology, Algebraic functions and function fields in algebraic geometry Base change killing of elements of \(\text{Br}_ 2 (k(x))\) with four poles | 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; fundamental group; automorphism group; harmonic morphism; branched covering Mednykh, A.; Mednykh, I., No article title, Discrete Math., 338, 1793-1800, (2015) Graphs and abstract algebra (groups, rings, fields, etc.), Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), Riemann surfaces; Weierstrass points; gap sequences On Wiman's theorem for graphs | 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 good towers; graphs Beelen, Peter; Garcia, Arnaldo; Stichtenoth, Henning, On towers of function fields over finite fields.Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr. 11, 1-20, (2005), Soc. Math. France, Paris Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Rational points On towers of function fields over 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 propagation differential; bosonic strings; complex torus; three symmetric punctures; central extension; Krichever-Novikov algebras; Virasoro cocycle A. Ruffing, Th. Deck, and M. Schlichenmaier, ''String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras,'' Lett. Math. Phys. 26, 23--32 (1992). Virasoro and related algebras, Riemann surfaces; Weierstrass points; gap sequences, Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, String and superstring theories; other extended objects (e.g., branes) in quantum field theory String branchings on complex tori and algebraic representations of generalized Krichever-Novikov 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 moduli spaces; Weierstrass semigroups; Weierstrass gap sequence Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic) A stratification of the moduli space of pointed non-singular 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 algebraic function fields; divisors Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On divisors in the field of algebraic functions of two variables | 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 distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry On the distribution of divisor class groups of curves 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 meromorphisms; elliptic function field Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry The meromorphisms of an elliptic 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 binary field with many rational places; global function field Niederreiter, H., Xing, C.P.: Explicit global function fields over the binary field with many rational places. Acta Arithm.~75, 383--396 (1996) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry Explicit global function fields over the binary field with many rational places | 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 curves with rank \(\geq 12\); curves over function fields Jean-François Mestre, Courbes elliptiques de rang \ge 12 sur \?(\?), C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 4, 171 -- 174 (French, with English summary). Elliptic curves over global fields, Elliptic curves, Arithmetic theory of algebraic function fields Elliptic curves with rank \(\geq 12\) over \(\mathbb Q(t)\) | 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; plane cubics of genus one; exceptional points Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences Les points exceptionnels sur les cubiques planes du premier genre. 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 semigroups; numerical semigroups; covering curve of genus 6; double coverings , Numerical semigroups of genus six and double coverings of curves of genus three, Semigroup Forum 91 (2015), no. 3, 601--610. Riemann surfaces; Weierstrass points; gap sequences, Commutative semigroups Numerical semigroups of genus six and double coverings of curves of genus three | 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 cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory Cyclotomic function fields (class groups, Bernoulli objects, etc.), Cyclotomic extensions, Class field theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Analog of the Kronecker-Weber theorem in 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 Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Iwasawa theory Class-groups 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 Corvaja, P.; Zannier, U., On the number of integral points on algebraic curves, Journal für die reine und angewandte Mathematik, 565, 27-42, (2003) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Diophantine inequalities, Global ground fields in algebraic geometry On the number of integral points on 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 towers of function fields; genus; number of places [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On invariants of towers of function fields over 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 Cartier operator; non-hyperelliptic curves; effective divisors Divisors, linear systems, invertible sheaves, Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials A bound on the genus of a curve with Cartier operator of small rank | 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 Fermat curve; Weierstrass point Watanabe, K.: Weierstrass points of the Fermat curve. Int. soc. Anal. appl. Comput. 4 (1999) Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces Weierstrass points of the Fermat 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 hyperelliptic curves; hyperelliptic function fields; algebraic function field; holomorphic differentials; Hasse-Witt matrix; Cartier operator Kodama,T.,Washio,T.: Hasse-Witt matrices of hyperelliptic function fields. Sci. Bull. Fac. Educ. Nagasaki Univ.37, 9-15 (1986) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Hasse-Witt matrices of 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 Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve II. Serdica Math. J. \textbf{34}, 771-782 (2008) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled surfaces Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve. 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 algebraic curve; Riemann surface; moduli space Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves Algebraic curves. Towards moduli spaces. Translated from the Russian by Natalia Tsilevich | 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; \texttt{Maple}; multiplicity; delta invariant; branching number; genus; monodromy; homology; period matrices; Abel maps Bernard Deconinck and Matthew S. Patterson, Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package ''algcurves'', Computational approach to Riemann surfaces, Lecture Notes in Math., vol. 2013, Springer, Heidelberg, 2011, pp. 67 -- 123. Computational aspects of algebraic curves, Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package ``algcurves'' | 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 Green's function; Mumford curves; Bruhat-Tits trees; Kronecker limit formula Drinfel'd modules; higher-dimensional motives, etc., Modular forms associated to Drinfel'd modules, Arithmetic ground fields for curves, Riemann surfaces; Weierstrass points; gap sequences, Potential theory on Riemannian manifolds and other spaces Green's functions on Mumford 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 moduli space of curves; Weierstrass point; non-gaps Diaz, S.: Deformations of exceptional Weierstrass points. Proc. A.M.S., 96, 7--10 (1986) Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Compact Riemann surfaces and uniformization Deformations of exceptional 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 valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation; defect; ramification index Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Genre des corps de fonctions valués après Deuring, Lamprecht et Mathieu. (Genus of valued function fields after Deuring, Lamprecht and Mathieu) | 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 reality questions concerning algebraic Riemann surfaces of arbitrary genus Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization On the reality behaviour of \(\varphi\) for a normal curve of arbitrary 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 deformation; positive characteristic; Kodaira-Spencer map; Riccati condition; height inequalities for algebraic points Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe, Diophantine approximation and deformation, Bull. Soc. Math. France, 128, 4, 585-598, (2000) Approximation in non-Archimedean valuations, Approximation to algebraic numbers, Arithmetic ground fields (finite, local, global) and families or fibrations, Heights Diophantine approximation and deformation. | 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 curves over global fields, Diophantine inequalities, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves Remarks on the size of the Tamagawa product | 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 Agebraic curves Plane and space curves, Riemann surfaces; Weierstrass points; gap sequences The cyclic and logarithmic periods of the quadratrice of an algebraic curve of degree \(m\) are the products by \(2\pi\sqrt{-1}\) of the roots of an algebraic equation of degree \(m\), which one can always obtain and of which the coefficients are rational functions of those of the equation of the proposed 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 genus bounds for the maximal size of an automorphism group of a compact Riemann surface of genus \(g\geq 2\) S. Corry, Genus bounds for harmonic group actions on finite graphs, \textit{Int. Math. Res. Not.} no. 19 (2011) 4515-4533. MR 2838048 (2012i:05056) Paths and cycles, Riemann surfaces; Weierstrass points; gap sequences Genus bounds for harmonic group actions on finite graphs | 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 Ahlgren, S; Papanikolas, M, Higher Weierstrass points on \(X_0(p)\), Trans. Am. Math. Soc., 355, 1521-1535, (2003) Arithmetic aspects of modular and Shimura varieties, Curves over finite and local fields, Arithmetic ground fields for curves, Congruences for modular and \(p\)-adic modular forms, Riemann surfaces; Weierstrass points; gap sequences Higher Weierstrass points on \(X_{0}(p)\) | 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 infinite-dimensional Lie algebras; current algebras; gauge algebra; conformal algebra; central extensions; integrable systems O. K. Sheinman, ''On Certain Current Algebras Related to Finite-Zone Integration,'' in Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar 2006--2007, Ed. by V. M. Buchstaber and I. M. Krichever (Am. Math. Soc., Providence, RI, 2008), AMS Transl., Ser. 2, 224, pp. 271--284. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Virasoro and related algebras, Loop groups and related constructions, group-theoretic treatment, Vector bundles on curves and their moduli, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Differentials on Riemann surfaces, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Lie algebras of vector fields and related (super) algebras On certain current algebras related to finite-zone integration | 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 places separably generated in algebraic function fields Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry Singular places in 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 transcendental invariant subfield; rational function field; automorphisms Chu, H, Orthogonal group actions on rational function fields, Bull. Inst. Math. Acad. Sinica, 16, 115-122, (1988) Geometric invariant theory, Arithmetic theory of algebraic function fields, Transcendental field extensions, Group actions on varieties or schemes (quotients) Orthogonal group actions on rational 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 curves defined over fields of formal power series; reciprocity law; bad reduction Douai, Jean-Claude; Touibi, Chedly: Courbes définies sur LES corps de séries formelles et loi de réciprocité. Acta arith. 42, No. 1, 101-106 (1982/1983) Arithmetic theory of algebraic function fields, Galois cohomology, Galois cohomology, Coverings in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Curves defined over fields of formal power series, and a reciprocity law | 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 quantum black holes; gravitational waves/theory; gravity; quantum gravity phenomenology Black holes, Quantization of the gravitational field, Gravitational waves, Perturbations in context of PDEs, Statistical mechanics of polymers, Applications of differential geometry to physics, Riemann surfaces; Weierstrass points; gap sequences, Spectrum, resolvent A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes | 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's quartic; jacobian; elliptic curve; Weierstrass points Prapavessi, ''On the jacobian of the Klein curve'', Procedings of the American Mathematical Society Vol 122, Number 4, December 1994. Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Elliptic curves On the Jacobian of the Klein 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 Weierstrass' elliptic sigma functions; hyperelliptic curves; Klein's sigma function; \((n,s)\)-curves; Schur function; multivariate sigma function associated with an \((n,s)\)-curve Nakayashiki, A., On algebraic expressions of sigma functions for (\textit{n},\textit{s})-curves, Asian J. Math., 14, 175-212, (2010) Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences, Relationships between algebraic curves and integrable systems On algebraic expressions of sigma functions for (\(n, s\)) 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 Tate-Poitou theorem; duality; finite groups Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes définies sur LES corps locaux de dimension N. J. algebra 125, 181-196 (1989) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps locaux de dimension N. (The Tate-Poitou theorem for function fields of curves defined over local fields of dimension N) | 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 curves over function fields; bad reduction; \(j\)-invariant; function field; Weierstrass equation Arithmetic theory of algebraic function fields, Elliptic curves, Elliptic curves over global fields, Elliptic curves over local fields Minimal number of points with bad reduction for elliptic curves over \(\mathbb{P}^1\) | 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 quadratic function field; hyperelliptic curve; divisor class group Sachar Paulus and Andreas Stein, Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves, Algorithmic number theory (Portland, OR, 1998) Lecture Notes in Comput. Sci., vol. 1423, Springer, Berlin, 1998, pp. 576 -- 591. Algebraic number theory computations, Computational aspects of algebraic curves, Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Applications to coding theory and cryptography of arithmetic geometry Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic 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 Inflection point; Linear system; Divisor; Curve; Invertible sheaf Coppens M.: Generalized inflection points of very general line bundles on smooth curves. Ann. Mat. Pura Appl. 187(4), 605--609 (2008) Riemann surfaces; Weierstrass points; gap sequences Generalized inflection points of very general line bundles on smooth 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 1. Alwaleed, K. & Kawasaki, M. [2009] '' 2-Weierstrass points of certain plane curves of genus three,'' Saitama Math. J.26, 49-65. Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic) 2-Weierstrass points of certain plane curves of genus three | 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 L-functions; smooth projective curve over a finite field; places; Euler characteristic; Galois cohomology Bae, S.: On the conjectures of Lichtenbaum and Chinburg over function fields. Math. Ann. 285, 417--445 (1989) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Galois cohomology On the conjecture of Lichtenbaum and of Chinburg over 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 order sequence; Weierstrass point; Weierstrass semigroup; smooth plane curve; inflection point; 2-flex; \(m\)-flex 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 generalized flex on a plane curve | 0 |
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