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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities DOI: 10.1142/S0217732398003041 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic aspects of modular and Shimura varieties, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Korchmáros, G; 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, 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)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Tilings in \(2\) dimensions (aspects of discrete geometry), Riemann surfaces; Weierstrass points; gap sequences, Quasicrystals and aperiodic tilings in discrete geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Jean-François 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities , 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities [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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Komeda, J., 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Elliptic curves over global fields, Diophantine inequalities, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Plane and space curves, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Elliptic curves, Elliptic curves over global fields, Elliptic curves over local fields
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Coppens M.: 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Special divisors on curves (gonality, Brill-Noether theory), Special algebraic curves and curves of low genus, Applications to coding theory and cryptography of arithmetic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Plane and space curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Modular forms associated to Drinfel'd modules, Rigid analytic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Chekhov, L.; Mazzocco, M., Colliding holes in Riemann surfaces and quantum cluster algebras, Nonlinearity, 31, 54, (2018) Cluster algebras, Relationships between surfaces, higher-dimensional varieties, and physics, Triangulating manifolds, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Relations of low-dimensional topology with graph theory, Riemann surfaces; Weierstrass points; gap sequences, Quantum groups (quantized enveloping algebras) and related deformations, Teichmüller theory for Riemann surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes, Arithmetic theory of algebraic function fields
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities D. Kettlestrings and J.L. Thunder, The number of function fields with given genus, Contem. Math. 587 (2013), 141--149. Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities J. D. McCarthy: \_{}\{\^{}\{\(Weierstrass points and Z2 homology\)\}\} , Topology and its Applications 63, pp. 173-188, (1995). Compact Riemann surfaces and uniformization, General low-dimensional topology, Differential topological aspects of diffeomorphisms, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Other groups related to topology or analysis, Structure and classification of infinite or finite groups, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A. W. Mason, Free quotients of congruence subgroups of the Serre groups and unipotent matrices, Comm. Algebra 27 (1999), no. 1, 335 -- 356. Unimodular groups, congruence subgroups (group-theoretic aspects), Subgroup theorems; subgroup growth, Algebraic functions and function fields in algebraic geometry, Linear algebraic groups over arbitrary fields, Arithmetic theory of algebraic function fields, Structure of modular groups and generalizations; arithmetic groups
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Decidability (number-theoretic aspects), Rational points, Diophantine equations, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Topology of real algebraic varieties, Differentials on Riemann surfaces, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities \.Zoładek, H., The topological proof of Abel-ruffini theorem, Topological Methods in Nonlinear Analysis, 16, 253-265, (2000) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Separable extensions, Galois theory, Compact Riemann surfaces and uniformization, Covering spaces and low-dimensional topology
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Diophantine equations, Homotopy theory and fundamental groups in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Homotopy groups, general; sets of homotopy classes, Obstruction theory in algebraic topology
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Gekeler, E.-U., Satake compactification of Drinfel'd modular schemes, (de Grande-de Kimpe, N.; van Hamme, L., Proceedings of the conference on \textit{p}-adic analysis, Houthalen, 1986, (1987), Vrije Univ. Brussel Brussels), 71-81 Global ground fields in algebraic geometry, Structure of modular groups and generalizations; arithmetic groups, Arithmetic theory of algebraic function fields, Theta series; Weil representation; theta correspondences, Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Costa, A.F., Izquierdo, M., Porto, A.M.: Maximal and Non-maximal NEC and Fuchsian groups uniformizing Klein and Riemann surfaces. In: Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces. Contemp. Math., Amer. Math. Soc., Providence, RI \textbf{629}, 107-118 (2014) Compact Riemann surfaces and uniformization, Klein surfaces, Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Other geometric groups, including crystallographic groups, Group actions on manifolds and cell complexes in low dimensions
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Spaces and algebras of analytic functions of one complex variable, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Bronstein, M., Salvy, B.: Full partial fraction decomposition of rational functions. In: ISSAC '93: Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, pp. 157--160. ACM, New York, NY, USA (1993) Symbolic computation and algebraic computation, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Serre, J.-P., Revêtements à ramification impaire et thêta-caractéristiques, C. R. acad. sci. Paris Sér. I math., 311, 9, 547-552, (1990) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Theta functions and curves; Schottky problem
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Kent, IV R.P.: Congruence Kernels Around Affine Curves. arXiv:1109.1267v1 (2011) Topological methods in group theory, Fundamental groups and their automorphisms (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences, Limits, profinite groups, Braid groups; Artin groups, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Teichmüller theory for Riemann surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities M. Matone and R. Volpato, \textit{Vector-valued modular forms from the Mumford form, Schottky-Igusa form, product of Thetanullwerte and the amazing Klein formula}, to appear in \textit{Proc. Amer. Math. Soc.} [arXiv:1102.0006] [INSPIRE]. Theta functions and curves; Schottky problem, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Bujalance, E.F.-J. Cirre and P. Turbek, Automorphism criteria for \(M^*\)-groups , Proc. Edinburgh Math. Soc. (2) 47 (2004), 339-351. Fuchsian groups and their generalizations (group-theoretic aspects), Automorphisms of abstract finite groups, Generators, relations, and presentations of groups, Klein surfaces, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities [1999] ??Die Entdeckung der Analogie zwischen Zahl- und Funktionenkörper: der Ursprung der ?Dedekind-Ringe,?? Jahresbericht der DMV 101 (1999): 116-134. History of number theory, Arithmetic theory of algebraic function fields, History of mathematics in the 19th century, History of mathematics in the 20th century, Algebraic number theory: global fields, Dedekind, Prüfer, Krull and Mori rings and their generalizations, History of algebraic geometry, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities M. Rosen, \textit{S}-units and \textit{S}-class group in algebraic function fields, J. Algebra 26 (1973), 98-108. Arithmetic theory of algebraic function fields, Units and factorization, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities C. Snyder, The coefficients of the Hessian elliptic functions, J. Reine Angew. Math. 306, 60--87. Arithmetic theory of algebraic function fields, Bernoulli and Euler numbers and polynomials, Special algebraic curves and curves of low genus, Elliptic curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Research exposition (monographs, survey articles) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Separable extensions, Galois theory, Classification theory of Riemann surfaces, Equations in general fields, Riemann surfaces; Weierstrass points; gap sequences, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain, Differential algebra
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Virasoro and related algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities M. D. Fried, Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification, Sci. China Math. 55(1) (2012), 1--72. Field arithmetic, Arithmetic aspects of modular and Shimura varieties, Arithmetic theory of algebraic function fields, Polynomials in general fields (irreducibility, etc.), Separable extensions, Galois theory, Coverings of curves, fundamental group, Finite simple groups and their classification
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Chekov, L., Matrix model for discretized moduli space, J. Geom. Phys., 12, 153, (1993) Families, moduli of curves (algebraic), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Riemann surfaces, Virasoro and related algebras
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Cirre, F.J., Gamboa, J.M.: Compact Klein surfaces and real algebraic curves. Topics on Riemann surfaces and Fuchsian groups (Madrid, 1998). In: London Mathematical Society, Lecture Note Series, vol. 287, pp. 113-131. Cambridge University Press, Cambridge (2001) Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities David Goss, The theory of totally real function fields, Applications of algebraic \?-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983) Contemp. Math., vol. 55, Amer. Math. Soc., Providence, RI, 1986, pp. 449 -- 477. Coverings of curves, fundamental group, Totally real fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Adrianov, N.M., Shabat, G.B.: Belyĭ functions of dessins d'enfants of genus 2 with four edges. Uspekhi Mat. Nauk 60(6), (366), 229--230 (2005) (in Russian); Russ. Math. Surv. 60(6), 1237--1239 (2005) (in English) Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Girard, M., The group of Weierstrass points of a plane quartic with at least eight hyperflexes, Math. Comp., 75, 1561-1583, (2006) Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Computational aspects of algebraic curves, Jacobians, Prym varieties
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Birational automorphisms, Cremona group and generalizations
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Weaver, A, Genus spectra for split metacyclic groups, Glasg. Math. J., 43, 209-218, (2001) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Automorphisms of surfaces and higher-dimensional varieties, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Group actions on manifolds and cell complexes in low dimensions, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled surfaces
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Plane and space curves, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Brauer groups of schemes, Global ground fields in algebraic geometry, Varieties over global fields, Arithmetic theory of algebraic function fields
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Hain, R; Reed, D, Geometric proofs of some results of Morita, J. Algebraic Geom., 10, 199-217, (2001) Families, moduli of curves (algebraic), Jacobians, Prym varieties, Fine and coarse moduli spaces, Classical real and complex (co)homology in algebraic geometry, Algebraic moduli of abelian varieties, classification, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Heins M.: On the pseudo-periods of the Weirstrass zeta-function. SIAM J. Numer. Anal. 3, 266--268 (1966) Modular and automorphic functions, Riemann surfaces; Weierstrass points; gap sequences, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Laumon, G., Fibrés vectoriels spéciaux, Bull. Soc. Math. France, 119, 1, 97-119, (1991) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Division rings and semisimple Artin rings, Vector and tensor algebra, theory of invariants, Rings with polynomial identity, Endomorphism rings; matrix rings, Arithmetic theory of algebraic function fields, Families, moduli of curves (algebraic)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Donaldson, S., Riemann Surfaces, Oxford Graduate Texts in Mathematics, vol. 22, (2011), Oxford University Press: Oxford University Press Oxford Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic), Jacobians, Prym varieties, Conformal mappings of special domains
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities I. OYAMA: On uniform convergence of trigonometrical series, (in the press) Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
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