Integral points on subvarieties of semiabelian varieties, II

1998/08/12 by Paul Vojta · 1 citation
Mathematics · #math.NT #math.AG #msc:11G10 #msc:11J25 #msc:14G05 #msc:14K15

paper · pdf

published as Amer. J. Math. 121 (1999) 283-313 · 31 pages, amstex with rsfs fonts

arxiv created 1998/08/12 · arxiv updated 2009/11/30

Abstract

This paper proves a finiteness result for families of integral points on a semiabelian variety minus a divisor, generalizing the corresponding result of Faltings for abelian varieties. Combined with the main theorem of the first part of this paper, this gives a finiteness statement for integral points on a closed subvariety of a semiabelian variety, minus a divisor. In addition, the last two sections generalize some standard results on closed subvarieties of semiabelian varieties to the context of closed subvarieties minus divisors.

Cited by

• Campana's orbifold conjecture for numerically equivalent divisors

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• Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields
• Fulton-Hansen and Barth-Lefschetz Theorems for Subvarieties of Abelian Varieties
• Finiteness criteria and uniformity of integral sections in some families of abelian varieties
• Transplanting Faltings' garden