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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. algebraic K-theory; norm residue homomorphism; \(K_ 2\) of fields; Brauer group; Merkur'ev-Suslin 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. subfields of algebraic function field; theorem of de Franchis | 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 function; distribution of integral points; arithmetic order; Faltings' theorem; rational points; Mordell's conjecture J. H. Silverman, ''Integral points on curves and surfaces'' in Number Theory (Ulm, Germany, 1987) , Lecture Notes in Math. 1380 , Springer, New York, 1989, 202--241. | 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 of \(K3\) surfaces in positive 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. Artin-Schreier extensions of function fields; automorphisms; \(k\)-error linear complexity; joint linear complexity; multisequences | 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; units in algebraic function fields; parametrized cubic 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. elliptic curves over global fields; arithmetic function fields; sheaves of differentials; Kähler differentials; arithmetic schemes; valuation rings Kunz, E.; Waldi, R.: Integral differentials of elliptic function fields. Abh. math. Sem. univ. Hamburg 74, 243-252 (2004) | 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. heights for function fields; the Bogomolov conjecture | 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. isomorphism of Witt rings; Witt equivalence of fields; global field; algebraic function field Koprowski, Przemysław, Local-global principle for Witt equivalence of function fields over global fields, Colloq. Math., 91, 2, 293-302, (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. lattices in function fields; basis reduction; computation in the Jacobian S. Paulus: Lattice basis reduction in function fields, J. Buhler (Ed.), Proceedings of the Third Symposium on Algorithmic Number Theory, Portland, Oregon, United States: ANTS-III, Springer LNCS 1423 (1998), pp. 567-575. | 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; Galois coverings; rigid analytic spaces; Galois extensions of 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. algebraic independence; large transcendence degrees; algebraic; groups; deformations; values of exponential function; elliptic; functions in several variables; zeta-functions; sigma function; abelian function Waldschmidt, M., Groupes algébriques et grands degrés de transcendance,Acta Math.,156 (1986), 253--302. | 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 variety; arithmetic Chow groups; direct image map for hermitian vector bundles; zeta function; Quillen metric; Riemann-Roch- Grothendieck theorem; moving lemma Soulé, C., Lectures on Arakelov geometry, Cambridge Studies in Advanced Mathematics, vol. 33, (1992), Cambridge University Press, in collaboration with Abramovich, D., Burnol, J.F., Kramer, J.K. | 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 curve; formally real field; space of orderings; dense orbits property; \(Q_ 1\)-fields; function fields of real algebraic varieties; elliptic curve | 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. Fermat last theorem; ABC-conjecture; Szpiro's conjecture; absolute value of the minimal discriminant; asymptotic Fermat conjecture; conjecture of Shimura-Taniyama-Weil; Serre's conjecture about modular representations Frey, G., Links between solutions of \(A - B = C\) and elliptic curves, (Number Theory, Ulm, 1987, Lecture Notes in Math., vol. 1380, (1989), Springer New York), 31-62 | 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. length of chain of syzygíes; homogeneous ideals of polynomial rings; characteristic; 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. finite fields; algebraic function fields; algebraic curves; Riemann-Roch theorem; rational places; coding theory; algebraic-geometry codes; function-field codes; elliptic and hyperelliptic curve cryptography; McEliece and Niederreiter cryptosystems; frameproof codes H. Niederreiter and C.P. Xing. \textit{Algebraic geometry in coding theory and cryptography}. Princeton University Press, Princeton, NJ (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. L-functions; p-divisibility of certain exponential sums over finite fields; theorem of Chevalley-Warning Adolphson, A.; Sperber, S., \(p\)-Adic estimates for exponential sums and the theorem of Chevalley-Warning, Ann. Sci. Ècole Norm. Sup., 20, 545-556, (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. Mordell-Weil theorem; rational points; \(p\)-descent; Selmer group; \(L\)- function; conjecture of Birch and Swinnerton-Dyer; Igusa curves Ulmer, D. L., P-descent in characteristic p, Duke Math. J., 62, 2, 237-265, (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. triviality of algebras over rational function fields; rationality of conic bundle; local global principle I. I. Voronovich, A local-global principle for algebras over fields of rational functions, Dokl. Akad. Nauk BSSR 31 (1987), no. 10, 877 -- 880, 956 (Russian, 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. proof of Mordell conjecture; Tate conjecture; Shafarevich conjecture; Torelli theorem; effective number of; rational points; finiteness theorems for elliptic curves Lucien Szpiro, La conjecture de Mordell (d'après G. Faltings), Astérisque 121-122 (1985), 83 -- 103 (French). Seminar Bourbaki, Vol. 1983/84. | 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. Towers of function fields; congruence function fields; genus; rational places; limits of towers; Zink's bound; cubic finite fields; Artin--Schreier extensions; Drinfeld--Vlăduţ bound; Hasse--Weil bound [4]A. Bassa, A. Garcia and H. Stichtenoth, A new tower over cubic finite fields, Moscow Math. J. 8 (2008), 401--418. | 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. base point free theorem; semiample line bundles; positive characteristic; 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. compatible systems of Galois representations; independence of algebraic monodromy groups; automorphic compatible systems; compatible systems over global 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. linear systems; rational normal curves; bounds for the regularity index of fat points; Hilbert function of the coordinate ring Trung, N. V.: An algebraic approach to the regularity index of fat points in P2, Kodai math. J. 17, No. 3, 382-389 (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. prime ideal in the ring of semialgebraic functions; Krull dimension Gamboa, On prime ideals in rings of semialgebraic functions, Proc. Amer. Math. Soc. 118 (4) pp 1034-- (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. quasi-hull; ultraproduct; plus-closure; rational singularity; Briançon-Skoda theorem; balanced big Cohen-Macaulay algebra; tight closure; local domain of finite type; characteristic \(p\) domains H. Schoutens, Canonical big Cohen-Macaulay modules and rational singularities, Illinois Journal of Mathematics 41 (2004), 131--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. rationality of curves; complement of curves in the complex projective plane; Euler characteristic; one-parameter family of plane curves; perversity of the sheaf complex DOI: 10.1016/0019-3577(95)98203-N | 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. fractional part of \(\eta\)-invariants; index theorem of subspaces; index \(\text{mod }n\); \(K\)-theory with coefficient in \(\mathbb{Z}_n\) Savin, A.; Schulze, B. -W.; Sternin, B.: Elliptic operators in subspaces and eta invariant. K-theory 26, No. 3, xx-xx (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. Hodge conjecture; infinitesimal variation of; polarized Hodge structure; determinantal variety; Torelli theorem; normal function of a primitive algebraic cycle Bernšteĭn, I.N., Gel'fand, I.M., Gel'fand, S.I.: Schubert cells, and the cohomology of the spaces \(G/P\). Uspehi Mat. Nauk \textbf{28}(3(171)), 3-26 (1973) | 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. Galois representation; maximal unramified Galois extension; function field of algebraic variety; algebraically closed field; positive characteristic; valuation rings; completions | 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 over finite prime fields; points of algebraic varieties over finite prime fields; existence of rational points; distribution of arithmetic sequences; distribution of angles of Kloosterman sums; verification of distribution functions; density functions of distributions | 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 algebraic K-theory; localization sequence; localization theorem for the K-theory of schemes; perfect complex; quasi-isomorphisms; projective space bundle theorem; Bass fundamental theorem; Mayer- Viëtoris theorem Thomason, R.W., Trobaugh, T: Higher algebraic \textit{K}-theory of schemes and of derived categories. In: The Grothendieck Festschrift, vol. III. Progress in Mathematics, vol. 88, pp. 247-435. Birkhäuser, Boston (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. algebraic curves; algebraic function fields; positive characteristic; automorphism 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. Cayley-Bacharach theorem; complete intersections; Hilbert function of graded Gorenstein algebras Davis, Gorenstein algebras and the Cayley-Bacharach theorem, Proc. Amer. Math. Soc. 93 pp 593-- (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. monomialization; field extension of two-dimensional function fields Cutkosky, S.D., Piltant, O.: Monomial resolutions of morphisms of algebraic surfaces. Special issue in honor of Robin Hartshorne. Commun. Algebra 28, 5935--5959 (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. arithmetic of curves; Diophantine problems; Faltings' theorem; Shafarevich's conjecture; Mordell's conjecture; height Grothendieck, A.: Techniques de construction et théorèmes d'existence en géométrie algébrique. IV (FGA). Les schémas de Hilbert. In: Séminaire Bourbaki, vol. 6, pages Exp. No. 221, 249-276. Soc. Math. France, Paris (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. degeneration theorem for K 3-surfaces; characteristic p | 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 invariants of singularities; characteristic \(p\); singularities of curves; resolution; Bertini's theorem; pencil; Euler characteristic; wild ramification Melle-Hernández, A., Wall, C.T.C.: Pencils of curves on smooth surfaces. Proc. Lond. Math. Soc. 83(2), 257-278 (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. reciprocity law for quadratic forms over function field; extension property of a quadratic form on a curve; hyperelliptic curves Parimala R and Scharlau W, The canonical class of a curve and the extension property for quadratic forms,Contemp. Math. 155 (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. Bezout's theorem for the intersection of two projective algebraic; varieties; complete intersection; intersection numbers; g-multiplicity system; improper intersections; Bezout's theorem for the intersection of two projective algebraic varieties D. Kirby, ''On Bezout's theorem,''Quart. J. Math.,39, No. 156, 468--481 (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. global Torelli theorem for algebraic K3 surfaces; compactifications of the moduli spaces of polarized K3 surfaces; mixed Hodge structures Friedman, R., \textit{A new proof of the global Torelli theorem for K}3 \textit{surfaces}, Ann. Math., 120, 237, (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. valued function fields; existence of regular functions; Henselian constant field; divisor reduction map; divisor group; elementary class Green, B.; Matignon, M.; Pop, F.: On valued function fields II: Regular functions and elements with the uniqueness property. J. reine angew. Math. 412, 128-149 (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. Brauer group of function field; reciprocity sequence; higher-dimensional function fields; smooth projective varieties; threefolds J. -L. Colliot-Thélène, ''On the reciprocity sequence in the higher class field theory of function fields,'' in Algebraic \(K\)-Theory and Algebraic Topology, Dordrecht: Kluwer Acad. Publ., 1993, vol. 407, pp. 35-55. | 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. elimination theory; quantifier free formula; Place extension theorems; ordered fields; finiteness theorem of semi-algebraic geometry L. van den Dries, Some applications of a model theoretic fact to (semi-) algebraic geometry, Nederl. Akad. Indag. Math., 44 (1982), 397--401. | 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 modular function for \(\sqrt{5}\); periods of \(K3\) surfaces; period differential equations; theta constants Nagano, A, A theta expression of the Hilbert modular functions for \(\sqrt{5}\) via period of K3 surfaces, Kyoto J. Math., 53, 815-843, (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. purity; inertia groups; branch locus of a normal cover of a regular scheme; fundamental group of the affine line in finite characteristic [Ha2] D. Harbater. On purity of inertia. Proc. Amer. Math. Soc.112, 311-319 (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. prime characteristic; Galois covers of affine varieties; fundamental groups; \(p\)-cohomological dimension D. Harbater, Embedding problems with local conditions, Israel Journal of Mathematics 118 (2000), 317--355. | 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 points; points in uniform position; Cayley-Bacharach theorem Eisenbud, D.; Green, M.; Harris, J., Higher Castelnuovo theory, Astérisque, 218, 187-202, (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. equations in many variables; forms of degree higher than two; applications of the Hardy-Littlewood method; global ground 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 group; zero-cycles in the Chow ring; Pic; del Pezzo surface; quadratic extension of local fields K. R. Coombes and D. J. Muder, Zero cycles on del Pezzo surfaces over local fields , J. Algebra 97 (1985), no. 2, 438-460. | 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 automorphism; birational invariants; powers of differentials; prime characteristic; Hilbert polynomial | 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; characteristic varieties; Albanese maps; orbifold pencils; Pell's equation on function fields Artal, E.; Cogolludo-Agustín, J. I.; Libgober, A., Depth of cohomology support loci for quasi-projective varieties via orbifold pencils, Rev. Mat. Iberoam., 30, 2, 373-404, (2014) | 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. curve in characteristic p; integral points; elliptic curve over function field; p-descent J. F. Voloch, Explicit \?-descent for elliptic curves in characteristic \?, Compositio Math. 74 (1990), no. 3, 247 -- 258. | 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. nonabelian zeta function; curves over finite fields; special permutations; zeta functions; zeta functions for \(\mathrm{SL}_n\) | 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. Bertini's theorem; fibrations by nonsmooth curves; relative Frobenius morphism; nonconservative function fields; regular but nonsmooth curves; minimal models Salomão, R.: Fibrations by curves with more than one nonsmooth point. Bull. braz. Math. soc. 45, 267-292 (2014) | 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. transcendental factors in the periods of an abelian variety; complex multiplication; gamma function at rational arguments; period relations; Chowla-Selberg formula Flach, Arch. Math. (Basel) 47 pp 418-- (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. central simple algebras; Brauer groups; 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 Merkurjev, A.; Panin, A.; Wadsworth, A., \textit{index reduction formulas for twisted flag varieties II}, J. K-Theory, 14, 101-196, (1998) | 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. fields of definition for homomorphisms of abelian varieties; isogeny Silverberg A.: Fields of definition for homomorphisms of abelian varieties. J. Pure Appl. Algebra \textbf{77}, 253-262 (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. surface singularities; resolution of singularities; invariants for singularities; Hironaka's characteristic polyhedra | 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 function; arithmetically Cohen-Macaulay rings; partitions; set of points in multiprojective space Van Tuyl, A.: The Hilbert functions of ACM sets of points in \(Pn1{\times}\cdots{\times}\)Pnk. J. algebra 264, 420-441 (2003) | 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. infinite tower of function fields; asymptotically good tower; long algebraic-geometric codes with good parameters; Artin-Schreier extensions; Kummer extensions Garcia, A.; Stichtenoth, H., Asymptotically good towers of function fields over finite fields, C. R. Acad. Sci. Paris Sér. I Math., 322, 11, 1067-1070, (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. curves over finite fields; number of \(\mathbb{F}_ 2\)-rational points; lower bound for \(A(2)\); infinite class field tower Schoof, René, Algebraic curves over \(\mathbb{F}_2\) with many rational points, J. Number Theory, 41, 6-14, (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. Diophantine equations; elliptic curves; Nagell-Lutz theorem; Mordell-Weil theorem; rational points; Thue-Siegel theorem; integer points; finite fields; complex multiplication; torsion points Silverman, Joseph H. and Tate, John : '' Rational Points on Elliptic Curves '', UTM, Springer-Verlag, New York etc., 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. axioms for elements in Euclidean spaces; principles of geometry; Helmholtz-axioms for fixed bodies; rotation of fixed bodies; Congruence of special triangles; axiom for parallelisme; cone Spaces | 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 test for the membership problem in the case of a polynomial complete intersection Dickenstein, A.; Sessa, C., An effective residual criterion for the membership problem in \textit{C}[z1,...,zn], J. pure appl. algebra, 74, 149-158, (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. Hilbert-Kunz function; Hilbert-Kunz multiplicity; characteristic \(p\); Frobenius homomorphism; representation ring; divisor class group; Harder-Narasimhan filtration; local Riemann-Roch formula; Cohen-Macaulay cones; affine semigroup ring; conic divisor; Ehrhart's theorem; quasipolynomial | 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. Milnor lattice; generalized root systems; root lattice; imbedded in K3- lattice; invariants of the Weyl groups of root systems; regular system of weights; homology group of K3-surface; Chevalley type 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. projective manifold; covering space; Shafarevich conjecture; extension of holomorphic function; slow growth; \(L_ 2\) cohomology; duality; vanishing theorem F. Lárusson, An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds , J. Geom. Anal., 5 (1995), no. 2, 281--291. | 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. Galois structure of de Rham cohomology; tamely ramified cover of schemes; Euler characteristic in Grothendieck groups; rings of integers Chinburg, T.: Galois module structure of de Rham cohomology. J. Théorie Nr. Bordx. 4, 1--18 (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. lattice point; equidistribution; positive characteristic; function fields; continued fraction expansion | 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. survey; differential algebra; diophantine geometry; stability; stable groups; differentially closed fields; \(\omega\)-stable structures; differential algebraic groups; \(\delta\)-definable groups; differential algebraic geometry; algebraic group; differential Galois theory of strongly normal extensions; Galois groups; Mordell-Lang conjecture; geometric version Pillay, A.: Model theory, differential algebra and number theory. Proc. ICM '94 (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. Abhyankar conjecture; affine line over a field of prime characteristic; Galois group; Mathieu group; universal covering group; splitting 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. finite field; function field; asymptotically exact sequence; class number; tower of function fields Stéphane Ballet and Robert Rolland, Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound, Actes de la Conférence ''Théorie des Nombres et Applications'', Publ. Math. Besançon Algèbre Théorie Nr., vol. 2011, Presses Univ. Franche-Comté, Besançon, 2011, pp. 5 -- 18 (English, with English and French summaries). | 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. linkage; Hartshorne-Rao module; system of generators; resolution; Kronecker's embedding theorem; liaison theorems for quasi-complete intersections; arithmetically Buchsbaum projective schemes; k-Buchsbaum curves M. Fiorentini and A.T. Lascu, Projective embeddings and linkage. Rend. Sem. Mat. Fis. Milano57, 161--182 (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. every K3 surface is Kähler; Kodaira conjecture; compact complex surface with even first Betti number; surjectivity of the period map for K-3 surfaces; global Torelli theorem Y. T. Siu, Every \textit{K}3 surface is Kähler. \textit{Invent. Math.} 73 (1983), 139-150. MR707352 Zbl 0557.32004 | 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. Dolbeault cohomology groups of exterior powers of the universal bundle; Grassmannian; vanishing theorem for exterior powers of an ample bundle Manivel, L. : Un théorème d'annulation pour les puissances extérieures d' un fibré ample , J. reine angew. Math. 422 (1991), 91-116. | 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. application of Wirsing's theorem; Fermat surface; multiplicative function; asymptotic formula | 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. Noether's theorem; fundamental theorem; theory of algebraic functions; function-theoretic proof | 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; coarse moduli space; field of moduli for a principally polarized abelian variety; smooth curve | 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 solubility; diophantine systems; forms in many variables; \(p\)-adic fields; homogeneous polynomials Wooley, TD, On the local solubility of Diophantine systems, Compos. Math., 111, 149-165, (1998) | 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; residue of differential form; system of parameters of valuation Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of two variables. TRU Math.17, 235--253 (1981) | 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 theorem; Nash manifolds; separation problem; factorization problem; extension problem; global equations; complexity of Nash functions | 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 rationality measures; roots of high order; non-archimedean valuations; determinantal method; diophantine approximation E. Bombieri and P. B. Cohen, Effective Diophantine approximation on \?_{\?}. II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), no. 2, 205 -- 225. | 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 of a curve; geometric Goppa codes; automorphism groups; one-point codes; Xing's theorem Kondo, S.; Katagiri, T.; Ogihara, T., Automorphism groups of one-point codes from the curves \(y^q + y = x^{q^r + 1}\), IEEE trans. inf. theory, 47, 2573-2579, (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. multiplicity of intersection; factorization theorem for the polar of an algebroid curve Ancochea Quevedo, G.: Curvas algebraicas sobre cuerpos cerrados de característica cualquiera. Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias exactas. Tomo IV. Memoria n. 1 | 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. Schmuedgen's representation theorem; quadratic forms; sums of squares; Henselization; Witt's Local Global Principle; algebraic curves; archimedian quadratic module; valuation theory; effectivity in semialgebraic geometry | 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. curves in characteristic p; p-adic Galois representations; group of automorphisms; Jacobian variety; Tate module R. Valentini,Some p-adic Galois representations for curves in characteristic p, Mathematische Zeitschrift192 (1986), 541--545. | 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. Oort stratification; Shimura varieties of PEL-type; Dieudonné spaces with PEL-structure; crystalline Dieudonné functor; truncated Barsotti-Tate groups; characteristic \(p\) Torsten Wedhorn, The dimension of Oort strata of Shimura varieties of PEL-type, Moduli of abelian varieties (Texel Island, 1999), Progress in Mathematics 195, Birkhäuser, 2001, p. 441-471 | 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 space of curves; mapping class group; Riemann zeta function; Euler characteristic; configurations HZ J.~Harer and D.~Zagier, \emph The Euler characteristic of the moduli space of curves, Invent. Math. \textbf 85 (1986), no.~3, 457--485. | 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. Drinfeld modules; elliptic modules; function fields; isogeny characters; torsion of Drinfeld modules | 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 varieties; discriminant of nets of quadrics; intermediate Jacobian; generic Torelli theorem for intersections of three quadrics DOI: 10.1007/BF01390330 | 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. covolume; Tamagawa measures; arithmetic Euler-Poincaré characteristic; motivic cohomology; Gauß-Bonnet formula; K-theory; residue of the zeta-function; elliptic curve; Néron model | 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; Weil conjectures; group of torsion; elliptic curves over local fields; good reduction; elliptic curves over global fields; Mordell-Weil theorem; descent; Selmer group; Shafarevich groups J. H. Silverman, \textit{The Arithmetic of Elliptic Curves.}Springer Verlag, New York, 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. curve blow-up; set theoretic complete intersections of surfaces in \(\mathbb{P}^ 3\); curves on surfaces; bound for surface degree; quartic surface 4. D. B. Jaffe, Applications of iterated blow-up to set theoretic complete intersections in \mathbb{P}3, J. Reine Angew. Math.464 (1995) 1-45. genRefLink(128, 'S0129167X15501049BIB4', 'A1995RP96900001'); | 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. rationality of Poincaré series; Macintyre's theorem; elimination of quantifiers; p-adic fields; cell decomposition theorem Denef, J., \textit{p}-adic semi-algebraic sets and cell decomposition, J. Reine Angew. Math., 369, 154-166, (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. Tate conjecture for a diagonal quartic surface; rank of the Néron- Severi group; L-function R. G. E. Pinch and H. P. F. Swinnerton-Dyer, Arithmetic of diagonal quartic surfaces. I, \?-functions and arithmetic (Durham, 1989) London Math. Soc. Lecture Note Ser., vol. 153, Cambridge Univ. Press, Cambridge, 1991, pp. 317 -- 338. | 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 polynomial; Gowers norms for 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. algebraic geometry; Riemann hypothesis; function fields; Severi's algebraic theory of correspondences on algebraic curves André Weil [3] On the Riemann hypothesis in function-fields , Proceedings of the National Academy of Sciences, vol. 27 (1941), pp. 345-347. Duke University. | 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. v-adic distance; Seshadri constant; Roth's theorem; Schmidt's subspace theorem; diophantine approximation D. McKinnon and M. Roth, Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties, Invent. Math. 200 (2015), no. 2, 513-583. | 0 |
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