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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. localization theorem for \(K\)-theory; triangulated categories; épaisse closure; derived category of quasicoherent sheaves; abelian categories Neeman, A., The connection between the K-theory localization theorem of thomason, trobaugh and yao and the smashing subcategories of bousfield and ravenel, Ann. Sci. Éc. Norm. Supér. (4), 25, 5, 547-566, (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. algebraic function fields; algebraic curves; distributions of values DOI: 10.1090/S0002-9947-06-04018-9 | 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. positive characteristic algebraic geometry; differential algebra; integral submanifolds of a manifold; differential ideals in the De Rham complex; characteristic p base ring; purely inseparable exponent one field extension; Poincaré lemma | 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. function theory of surfaces; principal congruence groups; Hecke subgroups; characteristic classes; punctures; Riemann surface; theta constant identities; conformal mappings | 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. indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) | 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 two stable reflexive sheaf; bound for the third Chern class; bound on genus of curves in projective 3-space Hartshorne, R, Stable reflexive sheaves III, Math. Ann., 279, 517-534, (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. characteristic \(p\); Galois group of number fields of curves; elliptic curve; potentially good reduction Kraus, A., Sur le défaut de semi-stabilité des courbes elliptiques à réduction additive, Manuscripta Math., 69, 1, 353-385, (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. general approximation theorem for valuations; large Jacobson radicals; valuation pair | 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. Ulm invariants; Brauer group of algebraic function fields over global fields Fein, B.; Schacher, M.: Brauer groups of algebraic function fields. J. algebra 103, 454-465 (1986) | 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; rational places; genus of a function field; automorphisms of function fields; \(p\)-rank | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. local height functions; closed subschemes; inverse function theorem; parametric family of algebraic varieties Silverman, J. H., \textit{arithmetic distance functions and height functions in Diophantine geometry}, Math. Ann., 279, 193-216, (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. generalization of Hamburger's theorem; Epstein's zeta-function; prehomogeneous vector space | 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; strong approximation property; commutator subgroups; rational function fields; global fields; Brauer groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986) | 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 varieties; curves over number fields; rational points; diophantine equations; Faltings' theorem; Mordell conjecture Edixhoven, Bas, Arithmetic part of Faltings's proof.Diophantine approximation and abelian varieties, Soesterberg, 1992, Lecture Notes in Math. 1566, 97-110, (1993), Springer, Berlin | 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. reduced Whitehead groups; Tannaka-Artin problem; patching; \(\mathrm{SK}_1\); function fields of \(p\)-adic 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. automorphic forms on function fields; automorphic cuspidal module; filtration on the moduli stack of shtukas; absolute values of the complex Hecke eigenvalues; full trace formula; residual spectrum | 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. theorem of Deuring and Shafarevich; algebraic function field; modular representation; rank of class group; ramification index R. Gold andM. Madan, An application of a Theorem of Deuring and Safarevic. Math. Z.191, 247-251 (1986). | 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 varieties; global fields; function fields; \(L\)-function; Birch and Swinnerton-Dyer conjecture; heights; torsion points; Néron models; Brauer-Siegel theorem Hindry, M.; Pacheco, A., An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic, Mosc. Math. J., 16, 1, 45-93, (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. function field; rational place; Weierstrass semigroup; tower of function fields Geil O., Matsumoto R.: Bounding the number of \(\mathbb{F}_q\)-rational places in algebraic function fields using Weierstrass semigroups. J. Pure Appl. Algebra \textbf{213}(6), 1152-1156 (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. Lehmer's problem in dimension two; lower bound for height of non-torsion point Pontreau, C.: Minoration effective de la hauteur des points d'une courbe de gm2 définie sur Q. Acta arith. 120, No. 1, 1-26 (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. cohomology of Severi-Brauer varieties; Gersten spectral sequence; Riemann-Roch formula for higher \(K\)-groups; \(K_2\); Milnor functor; norm residue homomorphism; Brauer group; Hilbert theorem 90 for \(K_2\) A. S. Merkurcprimeev and A. A. Suslin, ''\(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism,'' Izv. Akad. Nauk SSSR Ser. Mat., vol. 46, iss. 5, pp. 1011-1046, 1135, 1982. | 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. Łojasiewicz inequality; formal power series; Artin approximation theorem; Artin 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. function fields of \(p\)-adic curves; classical groups; projective homogeneous spaces; local-global principle; unitary groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abelian variety over a finite field; Chow motives of abelian schemes; Fourier transforms; Lefschetz operator; relative Chow motive; hard Lefschetz theorem for Chow motives of abelian varieties; theorem of the hypercube | 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. arrangements of hyperplanes; cohomology of local systems on quasi-projective varieties; Orlik-Solomon algebras; complements to algebraic curves; complements to hyperplane arrangements; arrangements of lines in \(\mathbb P^2\); Deligne cohomology; Alexander invariants of plane algebraic curves; characteristic varieties A. Libgober and S. Yuzvinsky, ''Cohomology of local systems,'' in Arrangements--Tokyo 1998, Vol. 27 of Adv. Stud. Pure Math., Kinokuniya, Tokyo, 2000, pp. 169--184. | 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. Parshin's conjecture; Miyaoka-Yau inequality; surfaces of general type; fields of positive characteristic Jang, J, Generically ordinary fibrations and a counterexample to parshin's conjecture, Mich. Math. J., 59, 169-178, (2010) | 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 geometry over finite fields; hypersurfaces; Bertini's theorem; zeta functions for varieties Poonen, B, Gonality of modular curves in characteristic \(p\), Math. Res. Lett., 15, 265-271, (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. arithmetic theory of algebraic function fields Lettl, G, Thue equations over algebraic function fields, Acta Arith., 117, 107-123, (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. algebraic function fields of genus one; real-closed field; J-invariant | 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. second main theorem; Green-Griffiths conjecture; foliation Michael McQuillan, ``Diophantine approximations and foliations'', Publ. Math., Inst. Hautes Étud. Sci. (1998) no. 87, p. 121-174 | 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. genus of curve; stable reduction of curve; topological function field; complete non-Archimedean valued fields; topological genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. modular curves; unramified extensions of number fields; Bernoulli numbers; ideal class groups; Eisenstein prime S. Kamienny, Modular curves and unramified extensions of number fields , Compositio Math. 47 (1982), no. 2, 223-235. | 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. Samuel stratum; desingularization of threefold; prime characteristic; maximal contact Cossart, V, Contact maximal en caractéristique positive et petite multiplicite, Duke Math. J., 63, 57-64, (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. abelian varieties with complex multiplication; periods of first and second kind; Jacobian of the Fermat curves; linear independence of values of the Beta-function; covering radius Wolfart, J., Der überlagerungsradius gewisser algebraischer kurven und die werte der betafunktion an rationalen stellen, Math. Ann., 273, 1-15, (1985) | 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. numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef | 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. counting real points; counting real zeros; rational points; trace formula for quadratic forms; commutative ring; scaled Pfister form; algorithms; algebraic variety; quantifier elimination for real closed fields; Bröcker-Scheiderer theorem Becker, E.; Wörmann, T., On the trace formula for quadratic forms, (), 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. irreducibility of polynomials; number fields; Hilbert irreducibility theorem; effective version; height | 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. Weierstrass semigroup; asymptotically good tower of function fields Pellikaan R., Stichtenoth H., Torres F. (1998). Weierstrass semigroups in an asymptotically good tower of function fields. Finite Fields Appl 4(4):381--392 | 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. special values; elliptic modular function; prime factorization of differences of singular moduli Dorman D.: Special values of the elliptic modular function and factorization formulae. J. Reine Angew. Math. 383, 207--220 (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. function fields; algebraic varieties; divisors; line bundles; vector bundles; sheaves; cohomology; elliptic curves; curves over arithmetic fields; Belyi's theorem; algebraic curves; one-dimensional varieties; coherent sheaves on curves; Riemann-Roch theorem; hyperelliptic curves; Serre duality | 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; irreducible lattices; rings of invariants; function fields; normal varieties; coordinate rings; reduced traces; Cayley-Hamilton algebras; étale local classes; smooth orders Lieven Le Bruyn, ''Non-smooth algebra with smooth representation variety (asked in MathOverflow)'', | 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. Newman's conjecture; zeros of the Riemann zeta function; \(L\)-functions; function fields; random matrix theory; Sato-Tate conjecture Andrade, J.; Chang, A.; Miller, S. J.: Newman's conjecture in various settings. J. number theory 144, 70-91 (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. zeta function of a number field; arithmetically equivalent number fields; Gassmann triple; permutation representations; integral representations; idele class groups; algebraic curves; Jacobians | 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. Frobenius endomorphisms; curves over finite fields; projective curve of genus 5; zeta function Lauter K., Proceedings of the American Mathematical Society 128 (2) pp 369-- (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. characteristic classes; constructible function; affine polar varieties; Euler obstruction; index theorem; characteristic cycles; stratified Morse theory Schürmann, J.; Tib\(###\)r, M., Index formula for macpherson cycles of affine algebraic varieties, Tohoku Mathematical Journal, 62, 29-44, (2010) | 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. generalized Raynaud surfaces; surfaces of general type; global vector fields; characteristic p W. Lang, ``Examples of surfaces of general type with vector fields'' in Arithmetic and Geometry, Vol. II , Progr. Math. 36 , Birkhäuser, Basel, 1983, 167-173. | 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. higher degree diophantine equations; reducibility; Dickson polynomials; Ritt's second theorem; plane curves Bilu, Yuri F.; Tichy, Robert F., The Diophantine equation \(f(x)=g(y)\), Acta Arith., 95, 3, 261-288, (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. Kummer extension; rational function field; splitting of prime divisors; genus; smooth projective curve Xing, C. P.: Multiple Kummer Extensions and the Number of Prime Divisors of Degree One in Function Fields. J. of Pure and Appl. Algebra84, 85--93 (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. nonstandard arithmetic; Galois theory; decision procedures; elementary theory of algebraically closed fields; undecidability; nonstandard model theory; Hilbert's irreducibility theorem; pseudo-algebraically closed fields; PAC fields; ultraproducts; Hilbertian field; absolut Galois group; embedding property M. Fried - M. Jarden , '' Field Arithmetic '', Springer-Verlag , 1986 . MR 868860 | Zbl 0625.12001 | 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. good postulation; specialization; degeneration; double line; double point; generic union of lines; sundial; residual scheme; Hartshorne-Hirschowitz theorem; Castelnuovo's inequality; Hilbert 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. deterministic algorithm; \(p\)-adic modular counting of rational points; sparse polynomials over finite fields; Stickelberger theorem; Gross-Koblitz formula; Gauss sums Wan D.: Modular counting of rational points over finite fields. Found. Comput. Math. 8, 597--605 (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. cross-correlations of shift register sequences; number of rational places of function fields defined over finite fields; Goppa algebraic-geometric codes; weight distributions; duals of BCH codes G. Garcia, ''Henning Stichtenoth algebraic function fields over finite fields with many rational places, '' IEEE Trans. Info. Theory, IT-41, 1548--1563 (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. primitive roots; Artin's conjecture; function field; Dirichlet density of prime ideals Clark, D. A.; Kuwata, M.: Generalized Artin's conjecture for primitive roots and cyclicity mod p of elliptic curves over function fields. Canad. math. Bull. 38, No. 2, 167-173 (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. cyclic function fields; \(L\)-functions unctions of functions fields; mean value of \(L\)-functions; zeta functions; function; class number Rosen, M.: Average value of class numbers in cyclic extensions of the rational function field. In: Number Theory. (Halifax, NS, 1994), pp. 307-323, CMS Conference Proceedings, vol. 15. American Mathematical Society, Providence, RI (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. Schmidt's subspace theorem; function fields; Thue's equation | 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. automorphic form; Drinfeld shtuka; Langlands correspondence; moduli stack of shtukas; global Langlands conjecture; function fields Laumon, G.: Chtoucas de Drinfeld et correspondance de Langlands. Gaz. Math. \textbf{88}, 11-33 (2001) | 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 theory of algebraic functions; Dedekind-Weber theory; algebraic function fields; linear systems; divisors; Abelian differentials | 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. rational points of bounded height; Diophantine approximation | 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 geometric codes; geometric Goppa codes; bounds on linear codes; algebraic curves; function fields; tensor rank; multiplication in finite fields; bilinear complexity | 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 field theory for curves over local fields; abelian fundamental group; class field theory of two-dimensional local fields; reciprocity law Saito S.: Class field theory for curves over local fields. J. Number Theory 21(1), 44--80 (1985) | 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. projective Schur groups; Brauer groups; rational function fields in one variable; cyclic algebras; Kummer extensions; projective Schur algebras; Abelian splitting fields E. Aljadeff and J. Sonn,On the projective Schur group of a field, Journal of Algebra178 (1995), 530--540. | 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. points in general position; fat points; index of regularity; Hilbert function DOI: 10.1006/jabr.1994.1370 | 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 definition; Belyi's theorem; minimal surfaces; ruled surfaces; number 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. Picard-Borel theorem for quasiprojective spaces; finiteness of; number of holomorphic mappings; Hilbert irreducibility theorem; algebraic group K. LANGMANN, Picard-Borel-Eigenschafte und Anwendungen, Math. Z., 19 (1986), 587-601. | 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. hypergeometric functions of hypersurfaces; modules with connections; determinant of a connection; proper base change theorem; character of the Gauss-Manin connection; logarithmic connection; hypergeometric functions for relative divisors; theorem of linearity; Kummer characters Terasoma, T.: On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces. Invent. Math.110, 441-471 (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. automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory Henning Stichtenoth, Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper, Math. Z. 187 (1984), no. 2, 221 -- 225 (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. 17th problem of Hilbert; Kochen operator; p-adically closed fields; isomorphism theorem; general embedding theorem; Hilbert Nullstellensatz Prestel, A., Roquette, P.: Formally \(p\)-adic Fields, volume 1050 of Lecture Notes in Mathematics. Springer, Berlin (1984) | 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. inverse Galois theory; algebraic fundamental group; plane curves; factorization of polynomials; resolution of plane curve singularities; hyperelliptic function fields; construction of Galois extensions; finite group; Galois group; PSL(2,8); unramified covering; affine line Shreeram S. Abhyankar, Square-root parametrization of plane curves, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 19 -- 84. | 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. IVHS; generic polarized Hodge structure; infinitesimal variation of Hodge structure; infinitesimal Schottky relations; moduli of curves; Gauss linear system; Jacobian system; Torelli theorem for cubic hypersurfaces James Carlson, Mark Green, Phillip Griffiths, and Joe Harris, Infinitesimal variations of Hodge structure. I, Compositio Math. 50 (1983), no. 2-3, 109 -- 205. Phillip Griffiths and Joe Harris, Infinitesimal variations of Hodge structure. II. An infinitesimal invariant of Hodge classes, Compositio Math. 50 (1983), no. 2-3, 207 -- 265. Phillip A. Griffiths, Infinitesimal variations of Hodge structure. III. Determinantal varieties and the infinitesimal invariant of normal functions, Compositio Math. 50 (1983), no. 2-3, 267 -- 324. | 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. theta-function; tau-function; classical limit; form factors of fields; Knizhnik-Zamolodchikov equation; finite-gap integration Smirnov F.A. (1993) Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration. Commun. Math. Phys. 155, 459--487 | 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. index theorem; analytic torsion; heat kernel of the Laplacian on Riemann manifolds; Arakelov's theory; hermitean bundles; Mordell conjecture; arithmetic intersection theory for general arithmetic varieties; arithmetic Riemann-Roch theory; arithmetic Chern classes; arithmetic \(K\)- groups; arithmetic Chow groups; Dirac operators on compact Kähler manifolds; super-Dirac operators [15] Faltings (G.).-- Lectures on the arithmetic Riemann-Roch theorem, Annals of Math. Studies, vol. 127, Princeton University Press, 1992. &MR~11 | &Zbl~0744. | 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. Bibliography; reduction-of-degree theorem; inverting polynomial maps of \(n\)-space; Markus-Yamabe Conjecture; global asymptotic stability; Jacobian Conjecture; polyflows; polynomial vector fields Meisters, G.: Inverting polynomial maps on n-sphere by solving differential equations. Delay and differential equations, 107-155 (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. Euler characteristic; Galois module structure; generalization of Taylor's theorem; arithmetic schemes of arbitrary dimension; class group invariant; deRham cohomology; \(\varepsilon\)-factors Chinburg, T.; Pappas, G.; Taylor, M. J.: {\(\epsilon\)}-constants and the Galois structure of de Rham cohomology. II. J. reine angew. Math. 519, 201-230 (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. local factors of the \(L\)-function; Riemann zeta function; zetas for motives; absolute arithmetic motives Manin, Y., Lectures on zeta functions and motives (according to deninger and Kurokawa), Astérisque, 4, 228, 121-163, (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. arithmetic varieties; Hermitian line bundles; Arakelov theory; volumes of line bundles; big line bundles; Fujita approximation; Hodge index theorem X. Yuan, On volumes of arithmetic line bundles, Compos. Math. 145 (2009), no. 6, 1447-1464. | 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 orientable smooth manifold; subgroup of two dimensional algebraic cycles in an algebraic model; Poincaré dual of the second Stieffel- Whitney class Bochnak J., Kucharz W.: Algebraic cycles and approximation theorems in real algebraic geometry. Trans. Am. Math. Soc. 337, 463--472 (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. fixed-point-free elements in finite groups; value set of a polynomial; curves over finite fields Guralnick, R., Wan, D.: Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Isr. J. Math. 101, 255--287 (1997) | 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. Determinant; functions of one variable; relations; integral; multiplier; linear differential equation; derivatives; quotients; main theorem; adjoint functions; independent; permutation; Jacobi's equation | 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. Hodge structure of even-dimensional quadric bundles; theta- characteristic; generic Torelli theorem Laszlo, Y.: Théorème de Torelli générique pour LES intersections complètes de trois quadriques de dimension paire. Invent. math. 98, 247-264 (1989) | 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. Abel's theorem; integrals of the second and third kind; metric theory 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. alternative algebra; quadratic algebra; composition algebras; algebraic curves of genus zero; locally ringed spaces; Cayley-Dickson doubling process; Zorn's vector matrices; octonion algebras; Zorn algebras; function fields of genus zero; polynomial rings Petersson, H.: Composition algebras over algebraic curves of genus 0. Trans. Am. Math. Soc. 337, 473--491 (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. elliptic curves over finite fields; discrete elliptic logarithm function; public key cryptosystems; twisted pair 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. function field analogue of the theory of elliptic modular curves; Drinfeld modules; Drinfeld's upper half-plane; expansions at the cusps of certain modular forms; Manin-Drinfeld theorem; algebraic modular forms; jacobian Ernst-Ulrich Gekeler, Drinfel\(^{\prime}\)d modular curves, Lecture Notes in Mathematics, vol. 1231, Springer-Verlag, Berlin, 1986. | 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's basis theorem; primary decomposition; structure theorem for finitely generated modules; dimension theory; field theory; going-down; affine algebras; Hilbert's Nullstellensatz; Noether's normalization theorem; principal ideal theorem; systems of parameters; Hilbert's syzygy theorem Sharp R.Y., in ''Commutative Algebra, Math. Sciences Research Inst. Publ. No. 15.'' pp 443-- (1989) | 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. combinatorial proofs; second fundamental theorem of invariant theory; flag variety; Schubert variety; determinantal ideals Mulay, S. B.: Determinantal loci and the flag variety. Adv. math. 74, 1-30 (1989) | 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 groups of function fields; function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Chevalley-Warning theorem; generic \(p\)-divisibility; \(L\)-function of exponential sums; zeros of polynomials over finite fields; Ax-Katz bound; weight of support set. | 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. equivalence of matrices; finite determinacy; group actions in positive characteristic; tangent image to orbit | 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. Kawamata-Viehweg vanishing theorem in positive characteristic; LC centers; minimal LC centers; adjunction formula; subadjunction; canonical bundle formula; positive characteristic 10.1007/s00209-016-1655-4 | 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. exponential height; diophantine equations; Bogomolov-Miyaoka-Yau inequality; arithmetic surface; Arakelov's intersection theory; intersection numbers; Szpiro conjecture; Parshin trick; asymptotic Fermat theorem; boundedness of the torsion of elliptic curves A. N. Parshin, ``The Bogomolov -- Miyaoka -- Yau inequality for the arithmetical surfaces and its applications'', Seḿinaire de theórie des nombres (Paris, 1986 -- 87), Progr. Math., 75, Birkhaüser, Boston, MA, 1988, 299 -- 312 | 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. Prym map; Torelli problem for Prym varieties; double covering of a general curve; theta divisor; Petri's theorem Debarre, O., Sur le problème de Torelli pour LES variétés de Prym, Amer. J. Math., 111, 1, 111-134, (1989) | 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 systems; Rumely's local-global principle; constructions of varieties over global fields; prescribed local properties; constructions of Galois extensions of local fields with given groups --. --. --. --., ``Applications of local-global principles to arithmetic and geometry'' in Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry (Ghent, Belgium, 1999) , Contemp. Math. 270 , Amer. Math. Soc., Providence, 2000, 169--186. | 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. extension of ground fields; elliptic fibration; elliptic surface; function field; conjectures of Birch and Swinnerton-Dyer G. R. Grant and E. Manduchi, Root numbers and algebraic points on elliptic surfaces with base \(\mathbbP^1\) , Duke Math. J. 89 (1997), no. 3, 413-422. | 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 \(F\)-representations; retract rational extensions; stably isomorphic extensions; lifting property; Azumaya algebras; fields of invariants; rational function fields; generic division algebras; central simple algebras D. J. Saltman, J.-P. Tignol, Generic algebras with involution of degree 8m, J. Algebra 258 (2002), no. 2, 535--542. | 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. moduli spaces of Riemann surfaces; mapping class groups; surface bundles; characteristic classes; topological monoid; classifying spaces; Madsen-Weiss 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. linear Diophantine equations; quadratic Diophantine equations; multiplicative Diophantine equations; rational points; curves of genus \(0, 1, (>1)\); Runge theorem; Thue-Siegel theorems; p-adic method; representability of integers by binary quadratic forms Th. Skolem, Diophantische Gleichungen, Chelsea, 1950. | 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. perverse sheaves over finite fields; intersection complex; decomposition theorem; convolution morphism for affine flag 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. Dirichlet \(L\)-functions; moments of \(L\)-functions; function fields; finite fields; random matrix 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. Chinese remainder theorem; congruence conditions; infinite number of primes; prime powers E. Torsten, \textit{An infinite version of the Chinese remainder theorem}, Comment. Math. Univ. St. Paul., 40 (1991), pp. 53--59. | 0 |
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