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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
##### Keywords:
finiteness for integral points; semiabelian variety
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