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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. On the first cohomology group of cofinite subgroups in surface mapping class groups. \textit{Topology}, (2)40 (2001), 401-418. ISSN 0040-9383. 10.1016/S0040-9383(99)00066-X. Riemann surfaces; Weierstrass points; gap sequences, Classical real and complex (co)homology in algebraic geometry, Automorphisms of curves, 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 Prasad, D.; Rajan, C. S., On an Archimedean analogue of tate's conjecture, J. Number Theory, 99, 180-184, (2003) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Isospectrality, 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 Electro- and magnetostatics, 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 Munuera, Carlos; Sepúlveda, Alonso; Torres, Fernando: Castle curves and codes. Adv. math. Commun. 3, No. 4, 399-408 (2009) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic 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 Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Special algebraic curves and curves of low genus
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Aldrovandi, E; Falqui, G, Geometry of Higgs and Toda fields on Riemann surfaces, J. Geom. Phys., 17, 25-48, (1995) Variation of Hodge structures (algebro-geometric aspects), Vector bundles on curves and their moduli, Riemann surfaces, 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 Medeiros, N.: On canonical curves and osculating spaces. J. Pure Appl. Algebra 170, 267--285 (2002) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Bassa, A.; Ma, L.; Xing, C.; Yeo, S. L., Toward a characterization of subfields of the Deligne-Lusztig function fields, \textit{J. Comb. Theory Ser. A}, 120, 1351-1371, (2013) Combinatorial aspects of representation theory, Curves over finite and local fields, Finite ground fields in algebraic geometry, Automorphisms of 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 Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Heights, 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 Rzedowski-Calderón M., Mejía-Huguet V.J.: Indescomponibilidad y módulos -divisibles. Aport. Mat. Comun. 35, 45--63 (2005) Injective and flat modules and ideals in commutative rings, Jacobians, Prym varieties, Arithmetic theory of algebraic function fields, Injective modules, self-injective associative rings, Group rings of finite groups and their modules (group-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 Riemann surfaces; Weierstrass points; gap sequences, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Commutative rings of differential operators and their modules
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities N. Ishii. A certain graph obtained from a set of several points on a Riemann surface. Thukuba J. Math., 23(1) (1999), 55--89. Riemann surfaces; Weierstrass points; gap sequences, Graph 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 Coppens, M., Weierstrass points with two prescribed nongaps,Pacific J. Math. 131 (1988), 71--104. Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (analytic), 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 Harer J.L. (1990) Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Math. Ann. 287(2): 323--334 General low-dimensional topology, Teichmüller theory for Riemann surfaces, Homology of classifying spaces and characteristic classes in algebraic topology, Differential topological aspects of diffeomorphisms, Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Transcendental field extensions, Quadratic forms over general fields, Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Model theory of fields, Grassmannians, Schubert varieties, flag manifolds, Brauer groups (algebraic 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 Ayano T., Nakayashiki A. On addition formulae for sigma functions of telescopic curves. arXiv:1303.2878 [math.AG] 17 pp. 2012. Relationships between algebraic curves and integrable systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Riemann surfaces; Weierstrass points; gap sequences, Theta functions and abelian varieties
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Tadokoro Y. (2006). The pointed harmonic volumes of hyperelliptic curves with Weierstrass base points. Kodai Math. J. 29(3): 370--382 Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus, 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 Zeta and \(L\)-functions in characteristic \(p\), Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Quadratic extensions, 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 Laksov, D. andThorup, A., Weierstrass points on schemes,J. Reine Angew. Math. 460 (1995), 127--164. Riemann surfaces; Weierstrass points; gap sequences, Schemes and morphisms
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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 Pflaum, U., The canonical constellation of \(k\)-Weierstrass points, Manusc. Math., 59, 21-34, (1987) Riemann surfaces; Weierstrass points; gap sequences, Curves 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 Supervarieties, Noncommutative algebraic geometry, Fine and coarse moduli spaces, 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 Polynomials over finite fields, 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 D.S. Thakur Number fields and function fields (zeta and gamma functions at all primes), p-adic analysis , Proc. Conf. Houthalen/Belg ( 1986 ), 149 - 157 . MR 921867 | Zbl 0658.12005 Arithmetic theory of algebraic function fields, Quaternion and other division algebras: arithmetic, zeta functions, Class field theory, Zeta functions and \(L\)-functions of number fields, Langlands-Weil conjectures, nonabelian class field theory, Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite fields and commutative rings (number-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 Piatek, M., Classical conformal blocks from TBA for the elliptic Calogero-Moser system, JHEP, 06, 050, (2011) Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Soliton solutions, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Riemann surfaces; Weierstrass points; gap sequences, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
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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 Hellegouarch, Y.: Algorithme pour calculer LES puissances successives d'une classe d'idéaux dans uns corps quadratique. Application aux courbes elliptiques. C. R. Acad. sci. Paris sér. I 305, 573-576 (1987) Quadratic extensions, Arithmetic theory of algebraic function fields, Elliptic curves, Software, source code, etc. for problems pertaining to field theory, Jacobians, Prym varieties, Higher degree equations; Fermat's equation, Algebraic number theory: 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 M. Möller, Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve, Invent. Math., 165, 633-649, (2006) Families, moduli of curves (analytic), Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Teichmüller theory for Riemann surfaces, Abelian varieties of dimension \(> 1\)
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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 Shokurov, V. V.: Riemann surfaces and algebraic curves. Encyclopedia of mathematical sciences 23 (1988) Riemann surfaces; Weierstrass points; gap sequences, Research exposition (monographs, survey articles) pertaining to algebraic geometry, 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 Riemann surfaces; Weierstrass points; gap sequences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Theta functions and abelian varieties
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities S. Rybakov, ''Zeta functions of conic bundles and Del Pezzo surfaces of degree 4 over finite fields,'' Mosc. Math. J. 5(4), 919--926 (2005). Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta and \(L\)-functions in characteristic \(p\), 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 Differentials on Riemann surfaces, Klein surfaces, Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences, 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Curves in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Riemann surfaces; Weierstrass points; gap sequences, Compact complex surfaces, Surfaces and 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 Fried, M.D., Kopeliovich, Y.: Applying modular towers to the inverse Galois problem. In: Geometric Galois Actions, 2. London Math. Soc. Lecture Note Ser., vol. 243, pp. 151--175. Cambridge University Press, Cambridge (1997) Inverse Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Arithmetic theory of algebraic function fields
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Fibrations, degenerations in algebraic geometry, Moduli, classification: analytic theory; relations with modular forms, Riemann surfaces; Weierstrass points; gap sequences, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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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. Homma and S. Ommori, On the weight of higher order Weierstrass points. Tsukuba J. Math. 8, 189--198 (1984). Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Yang, K., Meromorphic functions, divisors, and projective curves: an introductory survey, J. Korean Math. Soc., 31, 569-608, (1994) Riemann surfaces, 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, Singularities of curves, local rings
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities E. Bujalance, F.J. Cirre and P. Turbek. Subgroups of M*-groups. Q.J. Math., 54(1) (2003), 49--60. Fuchsian groups and their generalizations (group-theoretic aspects), Klein surfaces, 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 Köck, B; Singerman, D, Real Belyi theory, Q. J. Math., 58, 463-478, (2007) Arithmetic ground fields for curves, Klein surfaces, Real algebraic sets, 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 ÇakÇak, E; Özbudak, F, Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places, J. Pure Appl. Algebra, 210, 113-135, (2007) Curves over finite and local fields, Arithmetic theory of algebraic function fields, Rational points, 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 Finite-dimensional groups and algebras motivated by physics and their representations, Riemann surfaces; Weierstrass points; gap sequences, Other groups related to topology or analysis
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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.: Non-Weierstrass numerical semigroups. Semigroup Forum 57(2), 157--185 (1998) Riemann surfaces; Weierstrass points; gap sequences, 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 Adèle rings and groups, Global ground fields in algebraic geometry, 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 Komeda, J, On the existence of Weierstrass gaps sequences on curves of genus \(\leq 8\), J. Pure Appl. Algebra, 97, 51-71, (1994) Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities T. Ayano, Sigma functions for telescopic curves, \textit{Osaka J. Math. }51 (2014), 459--480. Riemann surfaces; Weierstrass points; gap sequences, Theta functions and curves; Schottky problem, 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 Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes, Galois cohomology, 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 Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry, Zeta functions and \(L\)-functions of number 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 M.P. Tuite, \textit{Genus two meromorphic conformal field theory}, math/9910136 [INSPIRE]. Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Vertex operators; vertex operator algebras and related structures, Riemann surfaces; Weierstrass points; gap sequences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between algebraic curves and physics, Quantum field theory on lattices, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
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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 Applications to coding theory and cryptography of arithmetic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), 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 Foth, P, Geometry of moduli spaces of flat bundles on punctured surfaces, Int. J. Math., 9, 63-73, (1998) Algebraic moduli problems, moduli of vector bundles, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves, Arithmetic ground fields for 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 Kohnen, W.: Weierstrass points at cusps on special modular curves. Math. Abh. Sem. Univ. Hamburg 73, 241--251 (2003) Relations with algebraic geometry and topology, 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 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 Arithmetic theory of algebraic function fields, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Coverings of curves, fundamental group
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Rational points, 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 Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Fibonacci and Lucas numbers and polynomials and generalizations, Algebraic functions and function fields in algebraic geometry, Iwasawa theory, Cyclotomic extensions, Zeta functions and \(L\)-functions of number 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 Curves over finite and local fields, 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 Coverings of curves, fundamental group, Special divisors on curves (gonality, Brill-Noether theory), Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann-Roch theorems, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Komeda, J., 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
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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 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
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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 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
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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 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
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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. 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.)
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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 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
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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 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
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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, 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
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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 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
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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 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
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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, 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
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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, ''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
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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, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Special divisors on curves (gonality, Brill-Noether theory)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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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 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
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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 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
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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 Curves over finite and local fields, 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 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)
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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 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.
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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 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
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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 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)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Lax, R. F., Widland, C.: 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
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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 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.)
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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 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
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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 Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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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 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
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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 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
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Plane and space curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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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 Planar graphs; geometric and topological aspects of graph theory, Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities 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
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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 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
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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 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
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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 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
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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 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
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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 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)
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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 [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
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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 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
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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 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
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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 Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Finite automorphism groups of algebraic, geometric, or combinatorial structures
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