Diophantine approximation on abelian varieties

From MaRDI portal
Publication:810601

DOI10.2307/2944319zbMath0734.14007OpenAlexW2078035743WikidataQ55967957 ScholiaQ55967957MaRDI QIDQ810601

Gerd Faltings

Publication date: 1991

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2944319



Related Items

Quelques remarques sur des questions d'approximation diophantienne, Minimally critical regular endomorphisms of, A GEOMETRIC VERSION OF DYSON'S LEMMA FOR FACTORS OF ARBITRARY DIMENSION, Géométrie et suites récurrentes, Integral points and orbits of endomorphisms on the projective plane, Higher arithmetic degrees of dominant rational self-maps, Questions of decidability and undecidability in Number Theory, Torsion points on isogenous abelian varieties, Multiplicity estimates and the product theorem, Perfect points of abelian varieties, A Chabauty-Coleman bound for surfaces, Modular curves with infinitely many quartic points, An overview on problems of unlikely intersections in families of abelian varieties, Degeneration locus of \(\mathbb{Q}_p\)-local systems: conjectures, Zariski density of points with maximal arithmetic degree, A Modern Solution to the Gion Shrine Problem, The number of rational points on a curve of genus at least two, Integral points of bounded degree on affine curves, Gonality of abstract modular curves in positive characteristic, On integral points of some Fano threefolds and their Hilbert schemes of lines and conics, On the global determinant method, Partition and analytic rank are equivalent over large fields, Counting integral points of bounded height on varieties with large fundamental group, Boundedness in families with applications to arithmetic hyperbolicity, On the Northcott property for special values of \(L\)-functions, New points on curves, Unnamed Item, Algebraic geometry over the residue field of the infinite place, Quadratic points on modular curves with infinite Mordell–Weil group, Global geometry on moduli of local systems for surfaces with boundary, On the quantitative subspace theorem, The elliptic Mahler measure, Hyperbolicity of Varieties of Log General Type, On quadratic points of classical modular curves, Aurifeuillian factorization, Height uniformity for integral points on elliptic curves, Diophantine approximation, Heights of Projective Varieties and Positive Green Forms, THE EXPLICIT MORDELL CONJECTURE FOR FAMILIES OF CURVES, Unnamed Item, Introduction, Low-degree points on Hurwitz-Klein curves, Unnamed Item, Bielliptic modular curves $X_0^*(N)$ with square-free levels, Inégalité de Vojta généralisée, Unnamed Item, Current trends and open problems in arithmetic dynamics, Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables, The Erdős–Ulam problem, Lang's conjecture and uniformity, Control of the non-geometrically integral reductions, An arithmetic Riemann-Roch theorem, Semi-stability and heights of cycles, Small points and the Bogomolov conjecture, Dyson's theorem for curves, On an effective variation of Kronecker’s approximation theorem avoiding algebraic sets, On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant, Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\), Some remarks on a theorem of Parent and generalizing Ogg's conjecture, Bielliptic Curves and Symmetric Products, Canonical Kähler metrics and arithmetics: generalizing Faltings heights, Dyson's lemma and a theorem of Esnault and Viehweg, Lower bounds for diophantine approximations, Mahler measures and logarithmic equidistribution, An arithmetic Schubert calculus, A construction of hyperbolic hypersurface of \(P^ n(C)\), Rational points of varieties with ample cotangent bundle over function fields, Canonical heights and division polynomials, Uniformity in Mordell-Lang for curves, Rational points on families of curves with genus at least 2, Intrinsic heights of stable varieties and abelian varieties, A uniform open image theorem for \(\ell\)-adic representations. II, Non-Archimedean entire curves in closed subvarieties of semi-abelian varieties, Non-reduced fibers of an arithmetic scheme, Computing the Mordell-Weil Rank of Jacobians of Curves of Genus Two, Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties, The density of rational and integral points on algebraic varieties, Lattices and rational points, Trivial points on towers of curves, Expander graphs, gonality, and variation of Galois representations, Diophantine approximations and toric deformations, A further improvement of the quantitative subspace theorem, Arithmetic discriminants and morphisms of curves, Modular curves with infinitely many cubic points, On the degree of integral points of a projective space minus a horizontal hypersurface, Abelian varieties in Brill-Noether loci, Nonlinear descent on moduli of local systems, Arithmetic of curves on moduli of local systems, Unnamed Item, Heights of hypersurfaces in toric varieties, Diophantine approximation with algebraic points of bounded degree., Rational points on K3 surfaces: A new canonical height, Heights in families of abelian varieties and the geometric Bogomolov conjecture, On vanishing coefficients of algebraic power series over fields of positive characteristic, Schubert calculus on the arithmetic Grassmannian, Diophantine approximation on algebraic varieties, On the bit complexity of polynomial system solving, Non-Archimedean hyperbolicity and applications, Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture, Vojta's conjecture on rational surfaces and the \(abc\) conjecture, On a modular Fermat equation, Varieties with too many rational points, Heights on squares of modular curves, The Boundedness of Degree of Fano Varieties with Picard Number One, Moving subvarieties by endomorphisms, Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers, Analytic residues along algebraic cycles, Schubert polynomials and Arakelov theory of orthogonal flag varieties, The ABC conjecture implies Vojta's height inequality for curves, Special points on products of modular curves, Algebraic points of small height missing a union of varieties, Unnamed Item, Unnamed Item, Integral points of small height outside of a hypersurface, Unnamed Item, Arithmetic intersection, Arakelov geometry, heights, equidistribution, and the Bogomolov conjecture, A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing, Aspects in Complex Hyperbolicity, Valuations, intersections and Belyi functions--some remarks on the construction of heights, Torsion points on elliptic curves and \(q\)-coefficients of modular forms, Bivariate polynomial injections and elliptic curves, Integrating on \(p\)-adic Lie groups, About the conjecture of Zilber-Pink, Problems and results on the distribution of algebraic points on algebraic varieties, Distribution of almost division points, On the product theorem, Unnamed Item, A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety, An elliptic analogue of Roth's theorem, Application of the method of Dem'yanenko-Manin to certain families of curves of genus 2 or 3, Integral points and Vojta’s conjecture on rational surfaces, Unlikely intersections with isogeny orbits in a product of elliptic schemes, Heights of hypersurfaces and Igusa's zeta-functions, Division points on semi-abelian varieties, The Hermite–Joubert Problem and a Conjecture of Brassil and Reichstein, A generalization of conjectures of Bogomolov and Lang over finitely generated fields, Generalized greatest common divisors, divisibility sequences, and Vojta's conjecture for blowups, Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko–Manin Method, Integral points on punctured abelian varieties, Diophantine approximations and foliations, How many rational points does a random curve have?, Sur des hauteurs alternatives. I. (On alternative heights. I), Local positivity and effective Diophantine approximation, Integral points of abelian varieties over function fields of characteristic zero, Integral division points on curves, Curves with infinitely many points of fixed degree, Diophantine approximations on projective spaces, Theory of heights. With an appendix by Jürg Kramer: An alternative foundation of the Néron-Tate height, Vojta’s Main Conjecture for blowup surfaces, Algebraic points on some quotients of Fermat curves