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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Carocca, A.; González-Aguilera, V.; Hidalgo, R. A.; Rodriguez, R., Generalized Humbert curves, Isr. J. Math., 164, 1, 165-192, (2008) Classification theory of Riemann surfaces, Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, 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 [Ki] Kim, S.J.: On the Existence of Weierstrass Gap Sequences on Trigonal Curves, J. Pure Appl. Algebra, 63 (1990), 171--180 Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization, Divisors, linear systems, invertible sheaves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities DOI: 10.1007/s00574-008-0074-5 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities D.S. Thakur, \(Function Field Arithmetic\), World Scientfic, Singapore, 2004. Research exposition (monographs, survey articles) pertaining to number theory, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Curves over finite and local fields, Transcendence (general theory), Zeta and \(L\)-functions in characteristic \(p\), Class field theory, Other character sums and Gauss sums, Arithmetic theory of polynomial rings over finite fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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 Tsfasman M., Vlăduţ S., Nogin D.: Algebraic Geometric Codes: Basic Notions, vol. 139. Math. Surv. Monogr.Amer. Math. Soc., Providence, RI (2007). Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory, Theory of error-correcting codes and error-detecting codes, Applications to coding theory and cryptography of arithmetic geometry, Curves in algebraic geometry, Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (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 Tamagawa, A., Ramification of torsion points on curves with ordinary semistable Jacobian varieties. Duke Math. J. 106 (2001), 281-319. Zbl1010.14007 MR1813433 Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic aspects of modular and Shimura varieties, Arithmetic ground fields for curves, Modular and Shimura 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 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 C. Gantz and B. Steer, ''Gauge fixing for logarithmic connections over curves and the Riemann--Hilbert problem,'' J. London Math. Soc. (2), 59, No. 2, 479--490 (1999). Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), 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 Schroll, S., Trivial extensions of gentle algebras and Brauer graph algebras, J. Algebra, 444, 183-200, (2015) Representations of quivers and partially ordered sets, Representation type (finite, tame, wild, etc.) of associative algebras, Cluster algebras, Riemann surfaces; Weierstrass points; gap sequences, Representations of associative Artinian rings
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities , Finite branched coverings of complex manifolds, Sugaku Expositions 5 (1992), no. 2, 193-211. Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Coverings 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 Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves over global fields, 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 Polynomials (irreducibility, etc.), Galois theory, Arithmetic theory of algebraic function 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 Schmidt Subspace Theorem and applications, Global ground fields in algebraic geometry, Diophantine inequalities, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, 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 Özbudak, Ferruh: On maximal curves and linearized permutation polynomials over finite fields, J. pure appl. Algebra 162, No. 1, 87-102 (2001) Curves over finite and local fields, Arithmetic theory of algebraic function fields, Polynomials over finite fields, Geometric methods (including applications of algebraic geometry) applied to coding theory, 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 Divisors, linear systems, invertible sheaves, 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 Zeta functions and \(L\)-functions of function fields, \(\zeta (s)\) and \(L(s, \chi)\), 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 Weitze-Schmithüsen, G.: The deficiency of being a congruence group for Veech groups of origamis. Int. Math. Res. Not. \textbf{2015}(6), 1613-1637 (2015) Compact Riemann surfaces and uniformization, Fuchsian groups and their generalizations (group-theoretic aspects), Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Teichmüller theory for Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), 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 Collino, A., Griffiths' infinitesimal invariant and higher \(K\)-theory on hyperelliptic Jacobians, J. Alg. Geom. 6 (1997), 393-415. Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, 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 Wu, Q.; Scheidler, R., The ramification groups and different of a compositum of Artin-Schreier extensions, Int. J. Number Theory, 6, 1541-1564, (2010) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Other abelian and metabelian extensions, 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 Riemann surfaces; Weierstrass points; gap sequences, Arithmetic aspects of modular and Shimura 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 Oliveira, G., Pimentel, F.L.R.: On Weierstrass semigroups of double covering of genus two curves. Semigroup Forum 77, 152--162 (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 Theta functions and curves; Schottky problem, Riemann surfaces; Weierstrass points; gap sequences, Analytic theory of abelian varieties; abelian integrals and differentials
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Algebraic functions and function fields in algebraic geometry, 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 Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Computational aspects of algebraic curves, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Compact complex surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Arithmetic theory of algebraic function fields, Transcendence theory of Drinfel'd and \(t\)-modules, Generalizations (algebraic spaces, stacks), Formal groups, \(p\)-divisible groups, 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 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 Oliveira, G., Torres, F., Villanueva, J.: On the weight of numerical semigroups. J. Pure Appl. Algebra 214, 1955--1961 (2010) Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Plane and space curves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Combinatorial aspects of tropical varieties, Riemann surfaces; Weierstrass points; gap sequences, Applications of graph theory, 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 Riemann surfaces; Weierstrass points; gap sequences, Designs and configurations, Inverse Galois theory, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global 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 Andreas Schweizer, On the \?^{\?}-torsion of elliptic curves and elliptic surfaces in characteristic \?, Trans. Amer. Math. Soc. 357 (2005), no. 3, 1047 -- 1059. Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Global ground fields in algebraic geometry, \(K3\) surfaces and Enriques 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 Jing Yu, On periods and quasi-periods of Drinfel\(^{\prime}\)d modules, Compositio Math. 74 (1990), no. 3, 235 -- 245. Arithmetic theory of algebraic function fields, Drinfel'd modules; higher-dimensional motives, etc., de Rham cohomology and algebraic geometry, Elliptic curves over global 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 Bosma W, Lenstra Jr H W. Complete systems of two addition laws for elliptic curves[J]. Journal of Number Theory, 1995, 53: 229--240. Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences, Elliptic curves over global 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 Real-analytic and semi-analytic sets, Applications of model theory, 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 E. Brussel and E. Tengan, Division algebras of prime period \( \ell \neq p\) over function fields of \( p\)-adic curves, Israel J. Math. (to appear). Finite-dimensional division rings, Curves over finite and local fields, Arithmetic theory of algebraic function fields, Skew fields, division rings, Local ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, 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 Anderson, G.; Thakur, D., \textit{tensor powers of the Carlitz module and zeta values}, Ann. of Math. (2), 132, 159-191, (1990) Arithmetic theory of algebraic function fields, Drinfel'd modules; higher-dimensional motives, etc., Generalizations (algebraic spaces, stacks), Global ground fields in algebraic geometry, Formal groups, \(p\)-divisible groups, Applications of methods of algebraic \(K\)-theory 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 Hurtubise, J., Separation of Variables and the Geometry of Jacobians, SIGMA Symmetry Integrability Geom. Methods Appl., 2007, vol. 3, Paper 017, 14 pp. (electronic). Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian 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 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 methods, Hodge theory (algebro-geometric aspects), Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), 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 Y Karshon, An algebraic proof for the symplectic structure of moduli space, Proc. Amer. Math. Soc. 116 (1992) 591 Homotopy theory and fundamental groups in algebraic geometry, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), General geometric structures on manifolds (almost complex, almost product structures, 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 Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, 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 De Carvalho, C. F.; Stöhr, K. -O.: Higher order differentials and Weierstrass points on Gorenstein curves. Manuscripta math. 85, 361-380 (1994) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Divisors, linear systems, invertible sheaves
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Paths and cycles, Graph algorithms (graph-theoretic aspects), Graphs and abstract algebra (groups, rings, fields, 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 Decoding, Special algebraic curves and curves of low genus, 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 Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces, Rational points, 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, Algebraic functions and function fields in algebraic geometry
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities DOI: 10.1016/S0166-8641(01)00272-3 General low-dimensional topology, Special algebraic curves and curves of low genus, Families, moduli of curves (analytic), 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 Relationships between algebraic curves and integrable systems, Relationships between algebraic curves and physics, Soliton equations, KdV equations (Korteweg-de Vries equations), NLS equations (nonlinear Schrödinger equations), Coverings of curves, fundamental group, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves, Soliton solutions
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Schlage-Puchta, Jan-Christoph; Wolfart, Jürgen, How many quasiplatonic surfaces?, Arch. Math. (Basel), 86, 2, 129-132, (2006) Subgroup theorems; subgroup growth, Fuchsian groups and their generalizations (group-theoretic aspects), Discrete subgroups of Lie groups, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Asymptotic results on counting functions for algebraic and topological 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 V. V. Chueshev, \textit{Multiplicative Functions and Prym Differentials on a Variable Compact Riemann Surface} [in Russian], Kemerovo State Univ., Kemerovo (2003). Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences, Differentials on Riemann surfaces, Compact Riemann surfaces and uniformization, Harmonic functions on Riemann surfaces, Teichmüller theory for Riemann surfaces, Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 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, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Lower bounds for the heights of solutions of linear equations, Invent. Math. 129 (1997), 1--10. Approximation in non-Archimedean valuations, Heights, Approximation to algebraic numbers, 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
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Kang E., Kim S.J.: Special pairs in the generating subset of the Weierstrass semigroup at a pair. Geom. Dedicata 99, 167--177 (2003) Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Special divisors on curves (gonality, Brill-Noether 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 F. Cools, J. Draisma, S. Payne, and E. Robeva, \textit{A tropical proof of the Brill--Noether theorem}, Adv. Math., 230 (2012), pp. 759--776, . 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 Carlos Simpson, Transcendental aspects of the Riemann-Hilbert correspondence. \textit{Illinois J. of Math. }34 (1990), 368--391. Ordinary differential equations in the complex domain, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, 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 Kuhlmann, F. -V.; Prestel, A.: On places of algebraic function fields. J. reine angew. Math. 353, 181-195 (1984) General valuation theory for fields, Arithmetic theory of algebraic function fields, Model theory of fields, Transcendental field extensions, Real algebraic and real-analytic geometry, Model-theoretic algebra, 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 E. Arbarello and G. Mondello, ''Two remarks on the Weierstrass flag,'' in: Compact Moduli spaces and Vector Bundles, Contemp. Math. (Proceedings) series, vol. 564, Amer. Math. Soc., Providence, RI, 2012, 137--144. 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 Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Jacobians, Prym varieties, Arithmetic ground fields for curves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic algebraic geometry (Diophantine geometry), Algebraic coding theory; cryptography (number-theoretic aspects), Proceedings of conferences of miscellaneous specific interest
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 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. Gathmann, M. Kerber, A Riemann-Roch theorem in tropical geometry. \textit{Math. Z}. \textbf{259} (2008), 217-230. MR2377750 (2009a:14014) Zbl 1187.14066 Riemann surfaces; Weierstrass points; gap sequences, Graphs and abstract algebra (groups, rings, fields, etc.), Paths and cycles
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 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. Biswas, A criterion for the existence of a flat connection on a parabolic vector bundle, \textit{Adv. Geom.,}\textbf{2} (2002), 231-241. Vector bundles on curves and their moduli, Differentials on Riemann surfaces, Holomorphic bundles and generalizations, 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 H. Niederreiter and C.~P. Xing, \textit{Rational Points on Curves over Finite Fields: Theory and Applications}, London Mathematical Society Lecture Note Series 285, Cambridge University Press, Cambridge, 2001. Curves over finite and local fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Class field theory, Rational points, Geometric methods (including applications of algebraic geometry) applied to coding theory, Pseudo-random numbers; Monte Carlo methods, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Cryptography
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Nikolaev, I., Riemann surfaces and \textit{AF}-algebras, \textit{Annals of Functional Analysis}, 7, 2, 371-380, (2016) Noncommutative topology, Riemann surfaces; Weierstrass points; gap sequences, Categories, functors in functional 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 Linear forms in logarithms; Baker's method, Approximation in non-Archimedean valuations, Arithmetic varieties and schemes; Arakelov theory; heights
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Mardešić, P, An explicit bound for the multiplicity of zeros of generic abelian integrals, Nonlinearity, 4, 845-852, (1991) Bifurcations of limit cycles and periodic orbits in 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 Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of packing and covering, Lattice packing and covering (number-theoretic aspects), Arithmetic theory of algebraic function fields
| 0
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Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities Wang, J.T.-Y., Integral points of projective spaces omitting hyperplanes over function fields of positive characteristic, J. number theory, 77, 2, 336-346, (1999) Varieties over global fields, Exponential 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 Hsia, L. -C.; Wang, J. T. -Y.: The ABC theorem for higher-dimensional function fields. Trans. amer. Math. soc. 356, No. 7, 2871-2887 (2004) Approximation in non-Archimedean valuations, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Diophantine inequalities, Arithmetic theory of algebraic function fields
| 1
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Zeng, G.: Valuations and convex subrings of a commutative ring with higher level preordering. Math. Z. 237, 219-234 (2001) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered fields, Valuations and their generalizations for commutative rings, General valuation theory for fields, Ordered rings, Forms of degree higher than two, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Marshall, M.A., 'Spaces of Orderings and Abstract Real Spectra', Lecture Notes in Mathematics 1636, Springer-Verlag, Berlin, Germany, 1996. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Research exposition (monographs, survey articles) pertaining to field theory, Algebraic theory of quadratic forms; Witt groups and rings, General valuation theory for fields, Real algebra, Real algebraic sets, Semialgebraic sets and related spaces, Valuations and their generalizations for commutative rings
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Special algebraic curves and curves of low genus
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fekak ( A. ) .- Exposants de Łojasiewicz pour les fonctions semi-algébriques , C.R.A.S. Paris, t. 310, Série 1, 193 - 196 ( 1990 ). Zbl 0706.14036 Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valuations and their generalizations for commutative rings
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Divisors, linear systems, invertible sheaves, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Becker, E.: Valuations and real places in the theory of formally real fields, in [10] Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields, Algebraic theory of quadratic forms; Witt groups and rings, Valued fields, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Ruiz, J. M.: Pythagorean real curve germs. J. algebra 94, 126-144 (1985) Real algebraic and real-analytic geometry, Valuations and their generalizations for commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valued fields
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Niels Schwartz, Compactification of varieties, \(Ark. Mat.\)28 (1990), 333-370. Real algebraic sets, Valuations and their generalizations for commutative rings, Real-analytic manifolds, real-analytic spaces
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) CR manifolds, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Sums of squares and representations by other particular quadratic forms, History of algebraic geometry, Semialgebraic sets and related spaces, Real-analytic and semi-analytic sets, History of mathematics in the 20th century
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Van Hamel, J., \textit{divisors on real algebraic varieties without real points}, Manuscripta Math., 98, 409-424, (1999) Real algebraic sets, Picard groups, Forms over real fields, Other nonalgebraically closed ground fields in algebraic geometry, Divisors, linear systems, invertible sheaves, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Monnier, J. P.: Unramified cohomology and quadratic forms. Math. Z. 235, 455-478 (2000) Algebraic theory of quadratic forms; Witt groups and rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Rational and ruled surfaces, \(4\)-folds, Witt groups of rings, \(K3\) surfaces and Enriques surfaces, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Machura M., Marshall M., Osiak K., Metrizability of the space of R-places of a real function field, Math. Z., 2010, 266(1), 237--242 Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Eberhard Becker, The real holomorphy ring and sums of 2\?th powers, Real algebraic geometry and quadratic forms (Rennes, 1981) Lecture Notes in Math., vol. 959, Springer, Berlin-New York, 1982, pp. 139 -- 181. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered fields, Valuations and their generalizations for commutative rings, General valuation theory for fields, Real algebraic and real-analytic geometry, Waring's problem and variants, Forms over real fields
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Valuations and their generalizations for commutative rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations, Extension theory of commutative rings, Semialgebraic sets and related spaces, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Semidefinite programming, Real algebraic sets, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) G. Blekherman, G. G. Smith, and M. Velasco, \textit{Sums of squares and varieties of minimal degree}, J. Amer. Math. Soc., 29 (2016), pp. 893--913. Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Semidefinite programming
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Coste, M.: Sous-ensemble algébriques réels de codimension 1. C. R. Acad. sci. 300, No. 1, 661-664 (1985) Real algebraic and real-analytic geometry, Low codimension problems in algebraic geometry, Singular homology and cohomology theory, Ordered fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valuations and their generalizations for commutative rings
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Ortega J. (1991). On the Pythagoras number of a real irreducible algebroid curve. Math. Ann. 289: 111--123 Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Formal power series rings, Riemann surfaces; Weierstrass points; gap sequences, Sums of squares and representations by other particular quadratic forms
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) José F. Fernando, On the Pythagoras numbers of real analytic rings, J. Algebra 243 (2001), no. 1, 321 -- 338. Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Valuations and their generalizations for commutative rings, Real-analytic manifolds, real-analytic spaces
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Carlos Andradas and Jesús M. Ruiz, On local uniformization of orderings, Recent advances in real algebraic geometry and quadratic forms (Berkeley, CA, 1990/1991; San Francisco, CA, 1991) Contemp. Math., vol. 155, Amer. Math. Soc., Providence, RI, 1994, pp. 19 -- 46. Real algebraic and real-analytic geometry, Valuations and their generalizations for commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, History of several complex variables and analytic spaces, Development of contemporary mathematics, Finite-type domains, Geometric and analytic invariants on weakly pseudoconvex boundaries, Functional analysis techniques applied to functions of several complex variables, CR manifolds, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Proper holomorphic mappings, finiteness theorems, Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions, CR manifolds as boundaries of domains, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic sets, Hermitian, skew-Hermitian, and related matrices
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Lombardi, H.: Effective real nullstellensatz and variants. Progress in math., no.~94, 263-288 (1991) Effectivity, complexity and computational aspects of algebraic geometry, Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Relevant commutative algebra, Other constructive mathematics, Real algebraic sets
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DOI: 10.1016/0021-8693(91)90169-9 Valuations and their generalizations for commutative rings, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) Real algebraic sets, Categories admitting limits (complete categories), functors preserving limits, completions, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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