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zero cycles; Chow group of algebraic cycles; Hodge structure linearization of action of algebraic group; Grothendieck group H. Bass and W. Haboush, Some equivariant \?-theory of affine algebraic group actions, Comm. Algebra 15 (1987), no. 1-2, 181 -- 217. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure dominant morphism; integral curve; relative Chow group; zero-cycle; admissible quadric bundles J.-L. Colliot-Thélène, A. Skorobogatov, Groupe de Chow des zéro-cycles sur les fibrés en quadriques. K-Theory 7(5), 477-500 (1993) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure mixed motives with multiplication; category of mixed motives; category of real mixed Hodge structures; Hodge structure of the Betti realization Deninger, C.: L-functions of mixed motives. Proc. symp. Pure math. 55, No. 1, 517-525 (1991) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure singularities of analytic functions; global analysis and geometry of functions; Alexander module; Artinian modules; semisimple modules; mixed Hodge structure; logarithmic connections; perverse sheaves; monodromy; Mellin transformation; mixed Hodge modules; unipotent variation of mixed Hodge structures | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure linear algebraic group; Frobenius morphism; Frobenius twist; generic cohomology; rational cohomology; finite group ong C is a PID.) A number of applications are given for strongly homogeneous; uniserial groups | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure plane algebraic curves; field of characteristic zero; automorphism groups; Fermat curve; Riemann surfaces | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Proceedings; Kyoto (Japan); Symposium; Algebraic geometry; Hodge theory; vanishing cycles; perverse sheaves; Hodge modules; Fourier transformations; elliptic singularity; Fermat hypersurfaces; Selberg motifs | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure \(K3\) surface; Chow groups; canonical zero-cycles; \(K\)-correspondence | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure stable cohomology; geometry of a generic point; Galois group of the algebraic closure of the field of rational functions on the variety; étale cohomology Bogomolov F.A., Stable cohomology of groups and algebraic varieties, Russian Acad. Sci. Sb. Math., 1993, 76(1), 1--21 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Cayley-Chow variety; cycles; degree of a subvariety; type; indices; characteristic number L. Guerra , Degrees of Cayley-Chow varieties , Math. Nachr. , 171 ( 1995 ), pp. 165 - 176 . MR 1316357 | Zbl 0838.14003 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure linearization; action of reductive algebraic group; non-linearizable torus actions; positive characteristic Asanuma, T, Non-linearizable algebraic group actions on \(\mathbb{A}^n\), J. Algebra, 166, 72-79, (1994) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure complex semisimple algebraic group; root system; positive roots; unipotent subgroup; algebra of regular functions; subalgebra of invariants; action; finite dimensional rational irreducible G-modules; characters; linearly independent; finite generation Horvath, J.: Weight spaces of invariants of certain unipotent group actions. J. Algebra126, 293--299 (1989) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure moduli spaces of curves; algebraic curves over global fields; discriminantal varieties; cohomology rings; Hodge structures Bergstrom, J.; Tommasi, O., The rational cohomology of M\_{}\{4\}, Math. Ann., 338, 207, (2007) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure étale chain complexes; reductive algebraic group; Deligne-Lusztig variety; splendid equivalence; proof of Broué's conjecture; étale sheaves; pure derived categories Raphaël Rouquier, Complexes de chaînes étales et courbes de Deligne-Lusztig, J. Algebra 257 (2002), no. 2, 482 -- 508 (French, with English summary). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic variety; Rost's degree formula; Chow group | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure connected linear algebraic group; group of \(R\)-equivalences; birational invariant; spinor type | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure affine surfaces; algebraic action of the additive group of complex numbers; equivariant compactifications; singular homology Fieseler, K-H, On complex affine surfaces with \({\mathbb{C}}^+\)-action, Comment. Math. Helv., 69, 5-27, (1994) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure homotopy group of complement; algebraic hypersurface; stratification; twisted deRham complex; Alexander polynomial A Libgober, The topology of complements to hypersurfaces and nonvanishing of a twisted de Rham cohomology, AMS/IP Stud. Adv. Math. 5, Amer. Math. Soc. (1997) 116 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Chow group; algebraic cycle; regulator map | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure connected semi-simple algebraic group; Lie algebra; torus; character module; identity component; group of D-fixed elements; adjoint action; weighted Dynkin diagrams; number of nilpotent orbits; prehomogeneous vector space N. Kawanaka, Orbits and stabilizers of nilpotent elements of a graded semisimple Lie algebra, J. Fac. Sci. Univ. Tokyo Section IA Math. 34(3) (1987), 573--597. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure mixed Hodge structure; weight filtration; algebraic action; weight polynomial; toral arrangement A. Dimca and G. I. Lehrer, Purity and equivariant weight polynomials, Algebraic groups and Lie groups, Austral. Math. Soc. Lect. Ser., vol. 9, Cambridge Univ. Press, Cambridge, 1997, pp. 161 -- 181. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure equivariant homology; complex \(G\)-varieties; algebraic cycles; spaces of morphisms H. B. Lawson Jr., ``Spaces of algebraic cycles: levels of holomorphic approximation,'' in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), pp. 574-584, Birkhäuser, Basel, 1995. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Torelli groups; diffeomorphisms; variation of Hodge structure R.\ M. Hain, Torelli groups and geometry of moduli spaces of curves, Current topics in complex algebraic geometry (Berkeley 1992/93), Math. Sci. Res. Inst. Publ. 28, Cambridge University Press, New York (1995), 97-143. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure action of complex algebraic group; quotient; fixed points M. Fankhauser, ''Fixed points for reductive group actions on acyclic varieties,'' Ann. Inst. Fourier,45, No. 5, 1249--1281 (1995). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Schur polynomials; Schubert cycles; Chow ring of Grassmann variety; flag bundles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure invariants of groups of quaternion type; Hodge cycles M. Kuga: Invariants and Hodge cycles. I. Advanced Studies in Pure Math., 15, 393-413 (1988). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure cycle modules; semisimple algebraic groups; Suslin (singular) homology; root system; Chow group Gille, S.: The first Suslin homology sheaf of a split simply connected semisimple algebraic group. J. algebra 333, 26-39 (2011) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure crystalline representations of the Galois group; Witt vectors; characteristic p; Shafarevich conjecture; Hodge numbers Abrashkin, V. A.: Modular-representations of the Galois group of a local field, and a generalization of the Shafarevich conjecture. Mathematics of the USSR-izvestiya 53, 469-518 (1989) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Jacobian; group structure; distribution of divisors | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Kähler manifolds; local systems; mixed Hodge theory; variation of mixed Hodge structure; variety of representations P. Eyssidieux and C. Simpson. Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures. \textit{J. Eur. Math. Soc. (JEMS)}, (6)13 (2011), 1769-1798 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure classification of complex algebraic surfaces; bicanonical map; torsion of the Picard group; moduli space; canonical ring; determinantal equation Catanese, F; Debarre, O, Surfaces with \(K^2=2,\; p_g=1,\; q=0\), J. Reine Angew. Math., 395, 1-55, (1989) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Picard-Borel theorem for quasiprojective spaces; finiteness of; number of holomorphic mappings; Hilbert irreducibility theorem; algebraic group Langmann, K.: Picard-Borel-Eigenschaft und Anwendungen. Math. Z.192, 587-601 (1986) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Pic is a contracted functor; algebraic \(K\)-theory; Picard group of the Laurent polynomial ring Weibel C.: Pic is a contracted functor. Invent. Math. 103, 351--377 (1991) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hodge structure; twisted cohomology group; Riemann surfaces M. Hanamura and M. Yoshida, \textit{Hodge structure on twisted cohomologies and twisted Riemann inequalities. I}, \textit{Nagoya Math. J.}\textbf{154} (1999) 123. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Hilbert schemes of points on surfaces; algebraic cycles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure LS-galleries model; complex group; simply-connected group; semi-simple group; algebraic group; MV-polytopes; retractions of affine building M. Ehrig, Construction of MV-polytopes via LS-galleries, Dissertation, University of Cologne, 2008. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure mixed Hodge modules; mixed Hodge complexes; perverse t-structure; categories of diagrams; realization functor FLORIAN IVORRA, Mixed Hodge complexes on algebraic varieties and t- structure, Journal of Algebra 433 (2015) 107-167. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure graph chordality; framework rigidity; Minkowski weights; Chow cohomology; geometry of cycles | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure motives; Chow groups and rings; algebraic cycles; motivic cohomology Murre, J.; Nagel, J.; Peters, C., \textit{Lectures on the Theory of Pure Motives}, (2013), American Mathematical Society, Providence | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure infinitesimal variation of Hodge structure of hypersurfaces; family of smooth surfaces; codimension Voisin, C., Une précision concernant le théorème de Noether, Math. Ann., 280, 605-611, (1988) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure \(p\)-adic Hodge cycles; abelian variety; Tate module; de Rham cohomology; Mumford-Tate group; \(p\)-adic Betti lattice Y. André , p-adic Betti lattices , In &201C;p-adic Analysis&201D;, Lecture notes in Math. 1454 ( 1989 ), 23-63. MR 92c:14015 | Zbl 0739.14009 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Seshadri's constant; zero estimate; multiplicity estimate; algebraic independence of logarithms of algebraic numbers | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure even unimodular lattices; finite unitary group; algebraic cycles N. Dummigan,Algebraic cycles and even unimodular lattices, Journal of the London Mathematical Society56 (1997), 209--221. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Abel's theorem; families of zero-cycles; hypersurface B. Fabre, On a problem of Griffiths : inversion of Abel's theorem for families of zero-cycles, Ark. Mat. 41 (2003), 61-84. Zbl1035.14002 MR1971940 | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; motives; Chow-Künneth decomposition; motivic finite-dimensionality; algebraic surfaces; balanced varieties Guletskiĭ, V.; Pedrini, C., Finite-dimensional motives and the conjectures of Beilinson and Murre, \(K\)-Theory, 30, 3, 243-263, (2003) | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Quotients of products of curves; Beauville surface; Beauville structure; simple group; quasi-simple group Y. Fuertes and G.\ A. Jones, Beauville surfaces and finite groups, J. Algebra 340 (2011), 13-27. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic models of smooth manifolds; real algebraic set; Nash structure Alberto Tognoli, Quelques exemples en géométrie algébrique réelle, Séminaire sur la géométrie algébrique réelle, Tome I, II, Publ. Math. Univ. Paris VII, vol. 24, Univ. Paris VII, Paris, 1986, pp. 29 -- 34 (French). | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure Kähler manifolds; projective complex manifold; Hodge structure; polarization; Hodge class; algebraic de Rham cohomology | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic cycles; Chow groups | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure algebraic action of reductive algebraic group; vector bundles M. Masuda, T. Petrie, Equivariant algebraic vector bundles over representations of reductive groups: Theory,Proc. Nat. Acad. Sci. 88 (1991), 9061--9064. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure MV-polytopes; MV-cycles; LS-galleries; algebraic group; Kac-Moody groups; combinatorial galleries; affine Grassmannian M. Ehrig, MV-polytopes via affine buildings, Duke Math. J. 155 (2010), 433--482. | 0 |
zero cycles; Chow group of algebraic cycles; Hodge structure singularities of level structure; Cohen-Macaulay singularities; isogenies between abelian varieties; local moduli space; Hodge algebras C.L. Chai and P. Norman , '' Singularities of the \Gamma 0(p)-level structure '', J. of Algebraic Geometry 1, 2 (1992) 251- 277. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 approximation; rational points on algebraic varieties; arithmetic algebraic geometry; Roth's theorem; nonvanishing lemma for polynomials in several variables; Roth's lemma; Dyson's lemma; Mordell conjecture; Faltings' theorem; finiteness of rational points; algebraic curve of genus greater than one; Vojta's generalization of Dyson's lemma; products of curves of arbitrary genus; Lang conjecture; Subspace Theorem; lower bound for the rational approximation to a hyperplane | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over 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. polynomial equations of genus zero and one; function field; algorithms; effective determination; diophantine equations in two unknowns; Thue equations; hyperelliptic equations; fundamental inequality; fields of positive characteristic; explicit bounds; solutions in rational functions; superelliptic equations R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 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. ABC conjecture; the error term in the ABC conjecture; radicalized Vojta height inequality; Diophantine approximation; Roth's theorem; type of an algebraic number; Mordell's conjecture; effective Mordell van Frankenhuijsen, Machiel, \(ABC\) implies the radicalized Vojta height inequality for curves, J. Number Theory, 127, 2, 292-300, (2007) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. logarithmic height function; Fermat Last Theorem; finiteness conjectures in Diophantine geometry; degenerate set of integral points; analogy between the theory of Diophantine approximation in number theory and value distribution theory; Nevanlinna theory; local height function; abc- conjecture; size of integral points on elliptic curves P. Vojta, Diophantine Approximations and Value Distribution Theory, Lecture Notes in Math. 1239, Springer, Berlin, 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. isotriviality; effective Mordell; semiabelian variety; positive characteristic; survey of diophantine geometry; bounding the heights of rational points on curves over function fields; semiabelian varieties; Roth's theorem Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; Siegel's theorem; integral points on affine curves; function-fields of characteristic zero José Felipe Voloch, Siegel's theorem for complex function fields, Proc. Amer. Math. Soc. 121 (1994), no. 4, 1307 -- 1308. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; inseparable extensions of function field; Mordell conjecture for number fields; genus drop; prime characteristic; non-conservative curves Voloch, J. F.: A Diophantine problem on algebraic curves over function fields of positive characteristic. Bull. soc. Math. France 119, 121-126 (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. diophantine equations; analogue of Thue equation; polynomial ring; diophantine approximation in fields of series; rational function solutions; first order algebraic differential equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Schmidt's Subspace theorem; function field; diophantine approximation; Chow form; Hilbert weight; degree of contact M. Ru and J. T.-Y. Wang, An effective Schmidt's subspace theorem for projective varieties over function fields, Int. Math. Res. Not. IMRN 3 (2012), 651--684. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Pierre de Fermat; René Descartes; Leonhard Euler; affine space; barycenter; real affine space; Pasch's theorem; Euclidean space; metric space; Gram-Schmidt process; approximation by the law of least squares; Fourier approximation; Hermitian space; projective space; duality principle; Fano's theorem; projective quadric; Pascal's theorem; Brianchon's theorem; topology of projective real spaces; algebraic plane curves; Bezout's theorem; Hessian curve; Cramer's paradox; group of a cubic; rational algebraic plane curve; Taylor's formula for polynomials in one or more variables; Eisenstein's criterion; Euler's formula; fundamental theorem of algebra; Sylvester's 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. upper bounds for solutions of diophantine equations; Runge theorem; finiteness of number of solutions; Brauer-Siegel theorem; Baker-Coates theory; linear forms in logarithms of algebraic numbers; \(p\)-adic case; representation of numbers by binary forms; Thue equation; rational approximations to algebraic numbers; effective strengthening of Liouville inequality; solution of Thue equation in \(S\)-integers; non-Archimedean metrics; polynomial equation; Mordell equation; Catalan equation; size of ideal class group; small regulator; effective variants of Hilbert on irreducibility of polynomials; Abelian points on algebraic curves Sprindžuk, Vladimir G., Classical Diophantine Equations, Lecture Notes in Mathematics 1559, xii+228 pp., (1993), Springer-Verlag, 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. Mordell conjecture for function fields; theorem of the kernel doi:10.2307/2374831 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (1983) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Roth theorem; Dyson lemma; polynomials in several variables; hypersurface; approximation point; positivity for direct images of dualizing sheaves; Kodaira type vanishing theorems of \({\mathbb{Q}}\)-divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. \(G\)-functions; formal power series; linear differential equation; \(p\)- adic differential equations; Padé approximants; general introduction to \(p\)-adic analysis; Dwork's theorem; rationality of the zeta function of a hypersurface over a finite field; \(D\)-modules; Honda's theory of differential equations in finite characteristics; applications to Katz' theorem; Dwork-Robba theorem; Dwork's transfer principles; Chudnovsky's theorem; Dwork-Robba type estimates; growth of solutions at the boundary of a singular disk; nilpotent monodromy; diophantine nature of the exponents; equivalence of Bombieri's and Galochkin's conditions B. \textsc{Dwork}, G. \textsc{Gerotto} and F. \textsc{Sullivan}, \textit{An Introduction to G-Functions}, Annals of Mathematical Studies, vol.~133, Princeton University Press, Princeton, 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. meromorphic functions; number field analogue of Nevanlinna's five-valued theorem counting multiplicities; uniqueness polynomials for complex meromorphic functions; non-Archimedean meromorphic functions; algebraic 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. log Hodge de Rham spectral sequences in finite characteristic; log Kodaira vanishing theorem in finite characteristic; log weak Lefschetz conjecture for log crystalline cohomologies; quasi-F-split height; log deformation theory with relative Frobenius; lifts of log smooth integral schemes over \(\mathcal{W}_2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. places of algebraic function fields; description of holomorphy ring of function fields; proof of Ax-Kochen-Ershov theorem; approximation theorems Kuhlmann, F. -V.; Prestel, A.: On places of algebraic function fields. J. reine angew. Math. 353, 181-195 (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. polynomials in several variables; hypersurface; approximation point; positivity for direct images of dualizing sheaves; Kodaira type vanishing theorems of \({\mathbb{Q}}\)-divisors; Roth theorem; Dyson lemma Hélène Esnault and Eckart Viehweg, Dyson's lemma for polynomials in several variables (and the theorem of Roth), Invent. Math. 78 (1984), no. 3, 445 -- 490. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. explicit formulae of prime number theory; Riemann zeta-function; Poisson summation formula; Riemann hypothesis; Hadamard product formula; zeros; prime number theorem; Lindelöf hypothesis; zeta-functions attached to curves over finite fields; approximate functional equation; large number of exercises Patterson, S.J. (1988). An Introduction to the Theory of the Riemann Zeta-Function. Cambridge Studies in Advanced Mathematics 14 . Cambridge: Cambridge Univ. Press. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; K-scheme; involutive distribution; integrable distributions; Zassenhaus algebra; Kronecker quiver; Frobenius theorem; algebra of truncated polynomials; TI-distributions; Lie algebra of Cartan type M. I. Kuznetsov, ''Distributions over a truncated polynomial algebra,'' Mat. Sb. 136(2), 187--205 (1988). [Sb. Math. 64 (1), 187--205 (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. arithmetic theorem of algebraic function fields; L-function of Galois covering of curves; function-field; characteristic polynomial of the Hasse-Witt matrix; generalised Hasse-Witt invariants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. explicit formulae of prime number theory; Riemann zeta-function; Poisson summation formula; Riemann hypothesis; Hadamard product formula; zeros; prime number theorem; Lindelöf hypothesis; zeta-functions attached to curves over finite fields; approximate functional equation; large number of exercises Patterson, S. J., An introduction to the theory of the Riemann zeta-function, (1995), Cambridge University Press | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 classes; volumes of tubes; semi-algebraic set; prime number theorem in algebraic number fields; Chebotarev's density theorem; equidistribution of prime ideals B. Z. Moroz, ''Equidistribution of Frobenius classes and the volumes of tubes,'' Acta Arith., 51, 269--276 (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. positive characteristic; extremal rays; Mori's structure theorem for threefolds; deformation theory of curves in smooth threefolds Kollár, Ann. Sci. Éc. Norm. Supér. (4) 24 pp 339-- (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. Anderson-Thakur function; \(L\)-functions in positive characteristic; function fields of positive characteristic Bruno Anglès & Federico Pellarin , Functional identities for \(L\) -series values in positive characteristic , J. Number Theory 142 (2014), p. 223-251 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. formal languages; algebraic geometry over finite fields; rationality of zeta function; zeta function; formal power series; cyclic language; minimal ideals in finite semigroups; characteristic series; cyclic recognizable language; traces of finite deterministic automata; sofic system; symbolic dynamics J. BERSTEL and C. REUTENAUER, Zeta functions of formal languages. Trans. Amer. Math. Soc., 1990, 321, pp. 533-546. Zbl0797.68092 MR998123 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 the conjecture of Birch and Swinnerton-Dyer for an abelian variety over a function field; Hasse-Weil zeta-function; Tate-Shafarevich group; prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. arithmetic of elliptic curves; determining the group of rational points; Mordell-Weil theorem; Birch and Swinnerton-Dyer conjecture; Hasse-Weil L-series; effective determination of all imaginary quadratic fields with given class number; Iwasawa theory; main conjecture for elliptic curves; descent method Coates, J.: Elliptic curves and Iwasawa theory. In: Modular forms. Rankin, R.A. (ed.), pp. 51-73. Chichester: Ellis Horwood Ltd (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. finite fields; character sums; Weil conjectures; Riemann-Roch theorem; points on curves over finite fields; zeta-functions; \(L\)-functions; idele class characters; modular forms; automorphic representations; Ramanujan graphs; Alon-Boppana theorem; regular graphs; Riemann hypothesis for zeta functions of curves over finite fields; exponential sums; Cayley graphs; finite upper half plane graphs; valuations of function fields; projective curve; Hecke operators; automorphic representations of quaternion groups; expander; simple random walk; spectral theory of graphs Li, W. -C. Winnie: Number theory with applications. Series of university mathematics 7 (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. Algebraic curves; algebraic function fields; automorphism groups of curves in positive characteristic; Stöhr-Voloch theory; curves with many points over finite fields Hirschfeld, J. W.P.; Korchmáros, G.; Torres, F., Algebraic Curves over a Finite Field, Princeton Series in Applied Mathematics, (2008), Princeton University Press: Princeton University Press Princeton, NJ, MR 2386879 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Nevanlinna's First Main Theorem; Nevanlinna's Second Main theorem; equidistribution theory of meromorphic mappings from the; Carlson- Griffiths viewpoint; defect relations; logarithmic derivative for meromorphic mappings; equidistribution theory of meromorphic mappings from the Carlson-Griffiths viewpoint Shiffman, B.: Introduction to the Carlson-Griffiths equidistribution theory. In: Lecture Notes in Math. \textbf{981}, 44-89 (1983) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Tate-Shafarevich groups; abelian varieties over higher dimensional bases over finite fields; \(p\)-torsion in characteristic \(p > 0\); abelian varieties of dimension \(> 1\); étale and other Grothendieck topologies and cohomologies | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. abc theorem for function fields,; Riemann Existence Theorem Umberto Zannier, Proof of the existence of certain triples of polynomials, Rend. Semin. Mat. Univ. Padova 117 (2007), 167 -- 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. rational points of algebraic curves; theorem of Mordell-Weil; effectivity; Diophantine approximation [9] J. Cassels, \(Mordell's finite basis theorem revisited\). Math. Proc. of the Cambridge Phil. Soc. 100 (1986), 31-41. &MR 8 | &Zbl 0601. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; invariant theory; polynomials invariant under the group action; factorization of rings of invariants; Shephard-Todd theorem D.J. Benson, \textit{Polynomial Invariants of Finite Groups, London Mathematical Society Lecture Notes Series}, vol. 190 (Cambridge University Press, Cambridge, 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. hyperbolic fibre space; higher dimensional analogue of Mordell's conjecture for curves; hyperbolic manifolds; algebraic families of hyperbolic varieties; Mordell's conjecture over function fields Noguchi, J.Hyperbolic fiber spaces and Mordell's conjecture over function fields, Publ. Research Institute Math. Sciences Kyoto University21, No. 1 (1985), 27--46. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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 Galois extensions; relative Brauer groups; cyclic extensions; indecomposable division algebras of prime exponent; central simple algebras; Brauer class; rational function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. function fields; Brauer group; theorem of Davenport-Halberstam Serre, Jean-Pierre, Spécialisation des éléments de \(\operatorname{Br}_2(\mathbf{Q}(T_1, \ldots, T_n))\), C. R. Acad. Sci. Paris, Sér. I, 311, 7, 397-402, (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. Zariski dense orbits; Medvedev-Scanlon conjecture; Mordell-Lang theorem in positive characteristic for tori | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; diophantine approximation; elliptic curves; Falting's theorem; Catalan's equation; Baker's theorems; linear forms in logarithms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie 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; compute a set of generators for the ring of invariant functions Kempf, G. R.: More on computing invariants. Lecture notes in mathematics 1471, 87-89 (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. rational points; hypersurface; counting function; multiple exponential sum; singular locus; Deligne's bounds for exponential sums; number of points; hypersurfaces over finite fields Heath-Brown, DR, The density of rational points on nonsingular hypersurfaces, Proc. Indian Acad. Sci. Math. Sci., 104, 13-29, (1994) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. algebraic function fields; domain of regularity; Hilbert's irreducibility theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. equations over finite fields; elliptic curves; diophantine equations in two variables; quadratic residues; large sieve; Mordell's theorem; Riemann Roch theorem; rational points; integral points; Thue equation; superelliptic equations; nonstandard arithmetic; Hilbert's tenth problem Stepanov, SA: Arithmetic of Algebraic Curves Translated from the Russian by Irene Aleksanova. Monographs in Contemporary Mathematics. Consultants Bureau, New York (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. rational points of affine variety; Hasse principle; ring of all algebraic integers; capacity theory on algebraic curves; completely valued algebraically closed fields; Hilbert's tenth problem; decision procedure for diophantine equations Rumelv, R. S., Arithmetic over the ring of all algebraic integers, Journal für die Reine und Angewandte Mathematik, 368, 127-133, (1986) | 0 |
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