A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing

DOI10.2307/2152710zbMath0778.11037OpenAlexW4233746860MaRDI QIDQ4024442

Paul Vojta

Publication date: 20 April 1993

Full work available at URL: https://doi.org/10.2307/2152710

zbMATH Keywords

heightArakelov theoryeffective divisorThue-Siegel theoremFaltings theoremarithmetic divisorsarithmetic discriminantgeneralisation of Roth's theorem and Mordell's conjecture

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (13)

Dyson's theorem for curves ⋮ Dyson's lemma and a theorem of Esnault and Viehweg ⋮ Integral points of bounded degree on the projective line and in dynamical orbits ⋮ Integral points of bounded degree on affine curves ⋮ Arithmetic discriminants and morphisms of curves ⋮ New points on curves ⋮ Diophantine approximation with algebraic points of bounded degree. ⋮ Quadratic integral solutions to double Pell equations ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ Diophantine approximation on algebraic varieties ⋮ On the Schmidt subspace theorem for algebraic points ⋮ Markoff triples and strong approximation ⋮ Generalizations of Siegel's and Picard's theorems

Cites Work

• On Siegel's lemma
• Diophantine approximation on abelian varieties
• Finiteness theorems for abelian varieties over number fields.
• Diophantine approximations and value distribution theory
• Mordell's conjecture over function fields
• Siegel's theorem in the compact case
• Rational Points on Symmetric Products of a Curve
• A Remark on Mordell's Conjecture
• Rational approximations to algebraic numbers
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