×

zbMATH — the first resource for mathematics

Integral points of subvarieties of semiabelian varieties. II. (English) Zbl 1018.11027
Summary: 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 [Invent. Math. 126, 133–181 (1996; Zbl 1011.11040)], 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.

MSC:
11G10 Abelian varieties of dimension \(> 1\)
14G05 Rational points
PDF BibTeX XML Cite
Full Text: DOI Link arXiv