Mordell's conjecture over function fields

DOI10.1007/BF01388847zbMath0662.14019OpenAlexW2022821455WikidataQ123004993 ScholiaQ123004993MaRDI QIDQ1113963

Paul Vojta

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143723

zbMATH Keywords

Grothendieck-Riemann-Roch theoremapproximations of rational numbers by rationalsfunction field analogue of Mordell's conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) (p)-adic and power series fields (11D88)

Related Items (8)

Dyson's lemma and a theorem of Esnault and Viehweg ⋮ Some surfaces with non-polyhedral nef cones ⋮ Dyson's lemma for products of two curves of arbitrary genus ⋮ New constructions of nef classes on self-products of curves ⋮ Unnamed Item ⋮ Diophantine Geometry from Model Theory ⋮ Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\) ⋮ A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing

Cites Work

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• Integral points on Abelian varieties
• Dyson's lemma for products of two curves of arbitrary genus
• Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
• The approximation to algebraic numbers by rationals
• A Remark on Mordell's Conjecture

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