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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. positive characteristic; uniform approximation of ideals; regular variety; Abhyankar valuation; test ideals; Frobenius morphism; Noetherian domain; graded system | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. traces of Hecke operators; modular curves over a finite field; elliptic curves over a finite field; Petersson formula for newforms; Tsfasman-Vlăduţ-Zink theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Mordell conjecture; product theorem; Roth's lemma; diophantine approximation theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. representations of non-negative polynomials; degree bounds; optimization; quadratic modules; preorderings; local minima; global minima; Schmuedgen's theorem; first order theory of real closed fields; ultrafilters; gradient ideal; sums of squares relaxations M. Marshall, \textit{Representations of non-negative polynomials, degree bounds and applications to optimization,} Canad. J. Math., 61 (2009), pp. 205--221. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. class numbers; function fields; mean values of \(L\)-functions Andrade, J. C., A note on the mean value of \textit{L}-functions in function fields, Int. J. Number Theory, 8, 7, 1725-1740, (2012) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic function fields; Riemann-Roch theorem Witt, E.: Riemann--Rochscher Satz und {\(\zeta\)}-Funktion im Hyperkomplexen. Math. Ann. 110, 12--28 (1934) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. functional equation for L-function; derivative of L-function; Birch and Swinnerton-Dyer conjecture; Iwasawa L-functions for abelian varieties with multiplicative reductions; p-adic height pairing John W. Jones, Iwasawa \?-functions for multiplicative abelian varieties, Duke Math. J. 59 (1989), no. 2, 399 -- 420. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. public key; discrete logarithm; finite abelian groups; cryptosystems; jacobians of hyperelliptic curves; finite fields; groups of almost prime order N. Koblitz, Hyperelliptic cryptosystems, J. Cryptology 1 (1989), no. 3, 139-150. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. variation of Hodge structures; Kähler hyperbolic manifold; Hermitian symmetric spaces of noncompact type; harmonic bundles; Kähler hyperbolicity; homogeneous holomorphic vector bundles; Lefschetz-Gromov vanishing theorem; Arakelov type inequalities; Chern classes; Gauss-Manin connection; formula of Kostant; scalar curvature for a griffiths period map; hyperrigidity 14. P. Eyssidieux, Kähler hyperbolicity and variations of Hodge structures, in New Trends in Algebraic Geometry, London Mathematical Society Lecture Note Series, Vol. 264 (Cambridge University Press, Cambridge, 1999), pp. 71-92. genRefLink(16, 'S0129167X1550113XBIB014', '10.1017%252FCBO9780511721540.005'); | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. construction; curves over finite fields; characteristic 2; supersingular curves; coding theory; generalized Hamming weights; odd characteristics; number of parameters G. VAN DER GEER - M. VAN DER VLUGT, On the existence of supersingular curves of given genus, J. Reine Angew. Math., 458 (1995), pp. 53-61. Zbl0819.11022 MR1310953 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. tight closure; multiplier ideals; characteristic \(p\); prime characteristic; F-rationality; Briançon-Skoda theorem; test ideals HY N.~Hara and K.-i.~Yoshida, A generalization of tight closure and multiplier ideals, Trans. Amer. Math. Soc. \textbf 355 (2003), 3143--3174. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Automorphism of function fields; singular points; rational function fields. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. n-valued formal groups; formal group in cobordism; 2n-periodic K-theory; Adams projectors; three-valued formal group of cobordism; characteristic classes of tensor products of complex n-plane bundles; representation of the Weyl group of a compact connected Lie group Bukhshtaber, V. M.; Kholodov, A. N.: Topological construction connected with many-valued formal groups. Math. USSR-izv. 20, 1-25 (1983) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. logarithmic vanishing theorem; boundedness for families of canonically polarized varieties; rational Gorenstein singularities Kovács S. J., Comp. Math. 131 pp 291-- (2002) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. rank of abelian variety; function fields; elliptic curve Pacheco, A.: The rank of abelian varieties over function fields. Manuscripta Math. 118, 361--381 (2005) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. deformations in subscheme; comparison theorem; deformation of a family of coherent sheaves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abelian modular functions; algebraic surfaces; arithmetic groups; automorphic forms; automorphic functions; automorphic L-functions; bounded homogeneous domains; cuspidal automorphic representations; discrete groups; distinguished representations; distribution of prime numbers; Euler subgroups; functions of several complex variables; generalized Ramanujan conjecture for (quasi)-split groups Piatetski-Shapiro, I.: Selected works of ilya piatetski-shapiro, (2000) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. cohomology of complement; arrangements of subspaces and of spheres in affine space; spherical and projective subspace arrangements; homology of the arrangement; homotopy direct limit; homotopy comparison results for diagrams of spaces 17.G. Ziegler, R. Živaljević, Homotopy types of subspace arrangements via diagrams of spaces. Math. Ann. 295, 527-548 (1993) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. integral points; function fields; Diophantine equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. elliptic curves over a local field; algorithm for the reduction type of a minimal model; characteristic 2; characteristic 3; Weierstrass model; 315 Papadopoulos, Ioannis, Sur la classification de Néron des courbes elliptiques en caractéristique résiduelle \(2\) et \(3\), J. Number Theory, 44, 2, 119-152, (1993) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. ordered groups; convex subgroups; valuation rings; Henselian domain; schemes of finite presentation; ultraproducts; Greenberg's strong approximation theorem; closed image theorem; infinitesimal Hasse principle; closed image map Moret-Bailly, L.: An extension of Greenberg's theorem to general valuation rings, Manuscripta math. 139, 153-166 (2012) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic curves; algebraic function fields; maximal curves; maximal function fields; automorphisms of function fields Güneri, C.; Özdemir, M.; Stichtenoth, H., The automorphism group of the generalized giulietti-korchmáros function field, \textit{Adv. Geom.}, 13, 369-380, (2013) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Ihara zeta-functions; primes in graphs; graph theory prime-number theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. exceptional divisors; Euler characteristic; embedded resolution of zero set; local zeta function; topological zeta function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. textbook; partially ordered sets; Zorn's lemma; number theory; fields; rings; abelian groups; polynomials; field extension; formal power series; polynomial rings; finite fields; power series; rational function; Bernoulli numbers; Puiseux series; Laurent series; ideals; quotient rings; factorization; Noetherian rings; prime ideals; principal ideal domains; cyclic groups; homomorphism; group action; quotient group; symmetric group; semidirect product; Sylow group; modules; free modules; commutative ring; Smith normal form; elementary divisor; Jordan form; Hermitian space; projective space; bilinear form; symplectic space; quadratic form; Kähler triples; quaternions; spinors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Brauer groups; indecomposable division algebras; noncrossed products; ramification; function fields of smooth curves; non-crossed product central division algebras; exponents; indices; periods; tensor products of central algebras E. Brussel, K. McKinnie, and E. Tengan, Indecomposable and noncrossed product division algebras over function fields of smooth \?-adic curves, Adv. Math. 226 (2011), no. 5, 4316 -- 4337. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Mordell-Weil group; multidimensional function fields; Néron-Tate height; Mordell-Weil rank; Jacobian; independence of some rational points T. Shioda, Constructing curves with high rank via symmetry, Amer. J. Math., to appear. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Mordell-Lang conjecture; rational points; torsion points; algebraically closed field; semi-Abelian variety; differentially closed field; group subvarieties; separably closed fields; Hrushovski-Zil'ber Dichotomy Theorem; diophantine geometry; Zariski geometry Manin, Y.I.: Letter to the editors: ''Rational points on algebraic curves over function fields'' [Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 1397-1442; MR0157971 (28 #1199)], Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989), no. 2, 447-448 (Russian); English transl., Math. USSR-Izv. 34 (1990), no. 2, 465-466 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. circle method; function fields; diagonal hypersurfaces; Vinogrador's mean value theorem; Waring's problem Zhao, X.: Asymptotic estimates for rational spaces on hypersurfaces in function fields, Proc. lond. Math. soc. (3) 104, 287-322 (2012) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. free energy; Euler characteristic of the moduli space; punctured compact Riemann surfaces; Penner's connected generating function N. Chair, Rev. Math. Phys. 3 pp 285-- (1991) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. global function fields; rational places; curves over finite fields; lower bound for \(A(2), A(3)\); class field towers; Drinfel'd-Vlădut bound Angles B., Maire C.: A note on tamely ramified towers of global function fields. Finite Field Appl. \textbf{8}, 207-215 (2002). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. effective geometric Bogomolov conjecture; curves of genus 3 over function fields; self-intersection of the relative dualizing sheaf; admissible constants of the metrized dual graph K. Yamaki, Geometric Bogomolov's conjecture for curves of genus 3 over function fields, J. Math. Kyoto Univ. 42 (2002), 57-81. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. division algebras; cyclic algebras; ramifications; étale cohomology; function fields of surfaces; affine schemes; Brauer groups; central algebras; fields of fractions; cyclic Galois extensions Colliot-Thélène, J.-L.: Conjectures de type local-global sur image des groupes de Chow dans la cohomologie étale. In: Algebraic K-theory (Seattle, WA, 1997), Proceedings of Symposia in Pure Mathematics, vol. 67, pp. 1-12. Amer. Math. Soc., Providence (1999) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Euler's Diophantine equation; \(K3\) surface; elliptic curve over a function field; rank of an elliptic curve; Picard number of a \(K3\) surface Ono, K; Trebat-Leder, S, The 1729 \(K3\) surface, Res. Number Theory, 2, 26, (2016) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic number fields; valuation theory; class field theory; Arakelov theory; zeta functions; \(L\)-series; algebraic curves over arithmetic ground fields; arithmetic algebraic geometry; geometric approach to algebraic orders; singular algebraic curves; Grothendieck-Riemann-Roch theory for algebraic schemes; Hecke's \(L\)-series; Artin theory of \(L\)-series; selected exercises Neukirch, Jürgen, Algebraische zahlentheorie, (1992), Springer-Verlag Berlin, (in German) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. unique factorization; congruence; quadratic reciprocity; quadratic Gauss sums; Jacobi sums; cubic and biquadratic reciprocity; equations over finite fields; zeta functions; quadratic and cyclotomic fields; Stickelberger relation; Eisenstein reciprocity law; Bernoulli numbers; Dirichlet L-functions; Mordell-Weil theorem for elliptic curves; Mordell conjecture; Taniyama-Weil conjecture; Fermat's last theorem; Birch- Swinnerton-Dyer conjecture; Gauss' class number conjecture K. Ireland and M. Rosen, \textit{A Classical Introduction to Modern Number Theory}, (2nd ed.), Springer, 1990. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. \(L\)-values in positive characteristic; log-algebraic theorem; generalized Drinfeld modules; Tate algebras; Herbrand-Ribet theorem; Carlitz module; class modules, Bernoulli-Carlitz fractions Anglès, B.; Pellarin, F.; Tavares Ribeiro, F., Arithmetic of positive characteristic \textit{L}-series values in Tate algebras. With an appendix by F. Demeslay, Compos. Math., 152, 1, 1-61, (2016) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. transcendence in finite characteristic; six exponentials theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. towers of function fields; asymptotically good towers; Drinfeld-Vladut bound; Artin-Schreier extension; long algebraic-geometric codes with good parameters García, A.; Stichtenoth, H., On the asymptotic behaviour of some towers of function fields over finite fields, J. Number Theory, 61, 248-273, (1996) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. multisymmetric polynomials; reflection groups; polynomial invariant; second fundamental theorem; ideal of relations; trace identities 10.Domokos, M.: Vector invariants of a class of pseudo-reflection groups and multisymmetric syzygies. J. Lie Theory 19, 507-525 (2009) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic deformation; rigidity theorem for homogeneous-rational manifolds; morphism of complex algebraic varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. degree of projective variety; Hilbert function; intersection theory; Bernstein-Kushnirenko theorem A. G. Khovanskii, ''Intersection theory and Hilbert function,'' Funct. Anal. Appl., vol. 45, pp. 305-315, 2011. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine geometry; Diophantine approximation; Schmidt subspace theorem; Thue-Siegel-Roth; \(S\)-integral points; rational points; integral points on surfaces; Hilbert irreducibility theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. actions of groups on commutative affine domains; finiteness theorem for orbits of ideals; enveloping algebras Farkas, D. R.: Groups acting on affine algebras. Trans. amer. Math. soc. 310, 485-497 (1988) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. entireness of \(L\)-series; positive characteristic; \(F\)-crystals; \(L\)-series of Drinfeld modules; \(t\)-modules; schemes over finite fields; entireness of connected set theoretic intersections | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algorithm for uniformizations in a neighborhood of a singular point; Newton polyhedra A. D. Bruno and A. Soleev, ''Local uniformization of branches of a space curve, and Newton polyhedra,''St. Petersburg Math. J.,3, No. 1, 53--82 (1992). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. normal variety defined over a finite field; characteristic roots of the L-function; characteristic roots of the zeta function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. zero estimates; arithmetic of abelian varieties; abelian integrals; Baker's method; Siegel's theorem; effective estimate for isogenies; 1- motives; isogenies between elliptic curves; Philippon's fundamental multiplicity estimate D. Bertrand, Transcendental methods in arithmetic geometry , Analytic number theory (Tokyo, 1988), Lecture Notes in Math., vol. 1434, Springer, Berlin, 1990, pp. 31-44. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic threefolds; resolution of singularities; valuations; local uniformization; regularity; singularities of vector fields; blow ups; nonsingular projective models; birational morphisms; patching theorem Piltant, O.: An axiomatic version of Zariski's pathching theorem. Universidad de Valladolid. Preprint (2008) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. non-archimedean valued fields; analytic functions; \(p\)-adic cohomology; Weil conjectures; \(p\)-adic analytic varieties; action of Frobenius; rigid cohomology; \(p\)-adic analytic functions; Morita's \(p\)-adic gamma function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. covers of curves in positive characteristic Zapponi, Leonardo, On the Belyi degree of a number field, (2008) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. universal quotient; equivariant Euler characteristic; class invariant map; slice theorem; divisor with normal crossings; induced action; total integral; tame actions of group schemes Chinburg, T.; Erez, B.; Pappas, G.; Taylor, M. J., \textit{tame actions of group schemes: integrals and slices}, Duke Math. J., 82, 269-308, (1996) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve Campana, F.: Une version géométrìque généralisée du théorème de produit de Nadel. C.R. Acad. Sci. Paris312, 853-856 (1991) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. covers of projective line; good reduction; abc conjecture; positive characteristic; continuation of Puiseux series U. ZANNIER, Good reduction of certain covers P1 3 P1 , Israel J. of Math., 124 (2001), pp. 93-114. Zbl1015.14010 MR1856506 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Torelli theorem for curves; compact Riemann surface; complex manifold of isomorphism classes of line bundles; Jacobian O. Debarre, Sur la démonstration de A. Weil du théorème de Torelli pour les courbes, Compositio Math. 58 (1986), no. 1, 3 -- 11 (French, with English summary). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. p-adic L-functions; CM fields; totally complex quadratic extension of a totally real field; Grössencharacter; p-adic measure; p-adic interpolation of Hecke L-function; functional equation; non-analytic Eisenstein series; Hilbert modular group; p-adic differential operators; p-adic Eisenstein series N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. motives; review of Iwasawa main conjecture; cyclotomic fields; elliptic curves; Selmer group; cyclotomic deformations of motives R. Greenberg, ''Iwasawa theory and \(p\)-adic deformations of motives,'' in Motives, II (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Amer. Math. Soc., Providence, 1994, 193--223. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Hilbert functions of determinantal loci; bitableaux; determinantal polynomials; second fundamental theorem of invariant theory Shreeram S. Abhyankar, Determinantal loci and enumerative combinatorics of Young tableaux, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 1 -- 26. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic cycles over finite fields; zeta function; Riemann-Roch; zeta functions of zero cycles Wan, D.: Zeta functions of algebraic cycles over finite fields. Manuscripta math. 74, 413-444 (1992) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Hasse-Weil zeta-functions; \(p\)-adic periods; \(p\)-adic fields; \(p\)-adic zeta functions; arithmetic of special values; zeta-functions; generalized Iwasawa main conjecture; Fontain's ring; explicit reciprocity laws; Lubin-Tate formal groups; dual exponential maps Kato, K.: Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{\mathrm dR}\) II. Non publié | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. discriminant; Cayley-Hamilton theorem; characteristic functions; commutative operator vessel; commutative \(n\)-tuples of Hilbert space operators; finite rank imaginary parts; Banach space operators; determinantal varieties; Bezoutians Kravitsky, N., Discriminant varieties and discriminant ideals for operator vessels in Banach space, Integral Equations Operator Theory, 23, 4, 441-458, (1995) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. derivative of L-functions; nonvanishing theorems; cuspidal new-form; automorphic L-function; twisted L-function; elliptic curve; rational points D. Bump, S. Friedberg, and J. Hoffstein, A nonvanishing theorem for derivatives of automorphic \(L\)-functions with applications to elliptic curves , Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 89-93. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. sums of squares; positive semidefinite function; formally real field; real holomorphy ring; Hilbert's 17-th problem; rational function fields; real closed field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Iitaka conjecture; positivity of direct images; uniformization theorem for compact Kähler orbifolds with trivial first Chern class | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Nevanlinna theory; second main theorem; hypersurfaces Van Tan, Tran; Van Truong, Vu, A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces, Bull. sci. math., 136, 111-126, (2012) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. finite fields; singular multiplicative character sums; cohomological interpretation of character sums; an upper bound for the sum of Betti numbers Rojas-León, A., Estimates for singular multiplicative character sums, Intern. Math. Res. Notices, 2005, 1221-1234, (2005) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Nash blowups; normal varieties; differential operators; methods in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. height inequalities; algebraic point on a regular arithmetic surface; Arakelov prime divisor; arithmetic discriminant; finiteness theorem for finite coverings; arithmetic divisors; torsion sheaves P. Vojta, ''Arithmetic discriminants and quadratic points on curves,'' in Arithmetic Algebraic Geometry, van der Geer, G., Oort, F., and Steenbrink, J., Eds., Boston: Birkhäuser, 1991, pp. 359-376. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. varieties of triples of commuting matrices; commuting pairs in the centralizer of a matrix; \(r\)-regular matrices; approximation by 1-regular matrices Šivic, Klemen, On varieties of commuting triples II, Linear Algebra Appl., 437, 2, 461-489, (2012) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. tower of function fields; one-point code; minimum distance; Feng-Rao bound Hasegawa, T.; Kondo, S.; Kurusu, H., A sequence of one-point codes from a tower of function fields, Des. Codes Cryptogr., 41, 3, 251-267, (2006) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; model companion of the theory of fields with an automorphism; Manin-Mumford conjecture; projective curve; Jacobian variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. standard basis; Gröbner basis; syzygies of a canonical curve; equations of Petri's type; non-minimal resolution; reducible canonical curves; Green's conjecture; second syzygy module; Hilbert's syzygy theorem Milnor, J.: On the 3-dimensional Brieskorn manifolds \textit{M(p, q, r)}. In: Neuwirth, L.P. (ed.) Knots, Groups, and 3-Manifolds (Papers Dedicated to the Memory of R. H. Fox), pp. 175-225. Princeton Univ. Press, Princeton, N. J. (1975) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. central simple algebras; Brauer groups; adjoint semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties A. S. Merkurjev, I. A. Panin, A. R. Wadsworth, \textit{Index reduction formulas for twisted flag varieties}. I, \(K\)-Theory \textbf{10} (1996), no. 6, 517-596. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. elliptic curves over function fields; Tate-Shafarevich groups; explicit computation of \(L\)-functions; BSD conjecture; Gauss and Kloosterman sums | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. compact Riemann surfaces; algebraic function fields of one variable | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. field of characteristic zero; integrable \(K\)-connection; smooth variety; characteristic classes; Chow group; cycle map in the Deligne cohomology Esnault, Hélène, Characteristic classes of flat bundles. II, \(K\)-Theory, 6, 1, 45-56, (1992) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. arithmetic algebraic geometry; Diophantine geometry; varieties over global fields; Brauer-Manin obstruction; homogeneous spaces over global fields; obstruction to the local-global principle; compactifications of torsors; Tate-Shafarevich group | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Brauer groups; indices; function fields of projective spaces; \(P_{n,r}\)-fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abelian variety; function field of characteristic \(p\); Manin map A. Buium and J. F. Voloch, Reduction of the Manin map modulo p, Journal für die Reine und Angewandte Mathematik 460 (1995), 117--126. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. irreducible curve; rational function; number of prime divisors Pappalardi, F.; Shparlinski, I.: On Artin's conjecture over function fields. Finite fields appl. 1, 399-404 (1995) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. boundedness conjecture for group of rational torsion points; elliptic curve; Mordell-Weil theorem; abelian variety; potential complex multiplication; torsion points on the Fermat curves; p-adic abelian integrals Coleman, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. approximation by regular function; \(R\)-space; real algebraic variety; semialgebraic set; sign; factoriality of the ring of regular functions; real-analytic manifold F. Acquistapace, F. Broglia:More about signatures and approximation, to appear in Geom. Dedicata. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve Campana, F. Une version géométrique généralisée du théorème du produit de Nadel,Bull. Soc. Math. France 119(4), 479--493 (1991). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. \(F\)-crystals; Newton polygons; characteristic \(p\); stratification; isogeny theorem; \(p\)-divisible groups; deformations; resolution of singularities [13] A. J. de Jong & F. Oort, `` Purity of the stratification by Newton polygons {'', \(J. Amer. Math. Soc.\)13 (2000), no. 1, p. 209-241. &MR 17 | &Zbl 0954.} | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic curves; algebraic function fields; positive characteristic; automorphism groups; Artin-Schreier-Mumford curve Korchmáros, G.; Montanucci, M., The geometry of the Artin-Schreier-Mumford curves over an algebraically closed field, (2016) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abstract elliptic function fields; structure of ring of meromorphisms; Riemann Hypothesis Hasse, H.: Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung. J. Reine Angew. Math. \textbf{175}, 193-208 (1936) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. truncated moment problem; measure representation; semialgebraic sets; positive functional; Riesz-Haviland theorem; \(K\)-moment problems; Riesz functional; moment matrix extension; flat extensions of positive matrices; localizing matrices Curto RE, Fialkow LA (2008) An analogue of the Riesz-Haviland theorem for the truncated moment problem. \textit{J. Funct. Anal.} 255(10):2709-2731. CrossRef | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. bound for genus of curves in 4-space Luca Chiantini, Ciro Ciliberto, and Vincenzo Di Gennaro, The genus of curves in \?\(^{4}\) verifying certain flag conditions, Manuscripta Math. 88 (1995), no. 1, 119 -- 134. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. symmetric products of curves; Jacobian varieties; Shafarevich conjecture implies the Mordell conjecture; zeta function; Torelli theorem J.S. Milne ; '' Jacobian varieties ''. Arithmetic geometry edited by G. Cornell, J.J. Silverman, Springer-Verlag ( 1986 ). MR 861976 | Zbl 0604.14018 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. representation theory of finite-dimensional algebras; tame hereditary algebras; tame bimodules; noncommutative curves of genus zero; noncommutative function fields of genus zero D. Kussin, Parameter curves for the regular representations of tame bimodules, J. Algebra, 320 (2008), no. 6, 2567--2582.Zbl 1197.16017 MR 2437515 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. discrete group; Chow ring valued characteristic classes for algebraic bundles; complex representation; multiplicative transfer; Chern classes of the induced representation; Riemann-Roch formula for induced representations; Stiefel-Whitney classes of real representations Fulton, W., MacPherson, R.: Characteristic classes of direct image bundles for covering maps. Ann. Math. (2) 125, 1--92 (1987) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. F-finite valuation rings; divisorial valuations in prime characteristic Datta, Rankeya; Smith, Karen E., Correction to the article ``Frobenius and valuation rings'' [ MR3531362], Algebra Number Theory, 11, 4, 1003-1007, (2017) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine inequalities; asymptotic Fermat; survey; Szpiro conjecture; modular height; conductor; elliptic curves; abc conjecture; Hall conjecture; upper bounds on the number of torsion elements; lower bound on the canonical height Lang S 1990 Old and new conjectured diophantine inequalities \textit{Bull. Am. Math. Soc.}23 37--75 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. finite fields; function fields; hyperelliptic curves; \(K\)-groups; moments of quadratic Dirichlet \(L\)-functions; class number Andrade, J. C.; Bae, S.; Jung, H., Average values of \textit{L}-series for real characters in function fields, Res. Math. Sci., 3, (2016), 47 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. characteristic \(p\); \(p\)-closed rational vector fields; \(K3\) surfaces; unirational surfaces; Hirzebruch surfaces; Zariski surfaces; Enriques' surfaces; surfaces of general type; Artin invariant; quasi-elliptic surfaces M. Hirokado, Zariski surfaces as quotients of Hirzebruch surfaces by \(1\)-foliations , Yokohama Math. J., 47 (2000), 103--120. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. finite fields; tame fundamental group; Markoff triples; tamely ramified covers; characteristic \(p\); covers of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. supercuspical family of curves; pathology in positive characteristic; Frobenius; singular point | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. classification of extremal rational elliptic surfaces in characteristic \(p\) Lang, William E., Extremal rational elliptic surfaces in characteristic \(p\). II. Surfaces with three or fewer singular fibres, Ark. Mat., 0004-2080, 32, 2, 423-448, (1994) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic number fields; algebraic function fields; algebraic \(p\)-adic height pairing; elliptic curve; Selmer group; complex multiplication; pairing of Galois cohomology groups; Poincaré group; Galois extension | 0 |
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