Arithmetic of Subvarieties of Abelian and Semiabelian Varieties

Abstract

Abstract We will discuss work of Faltings concerning rational points on subvarieties of abelian varieties. In the talk given at the conference, the present author announced a generalization of this theorem to the case of integral points on semiabelian varieties. The proof has some serious flaws, however, so the generalization still remains a conjecture.