Elliptic curves on abelian varieties

Abstract

Given a principally polarized abelian variety $(A,\Theta )$, we give a characterization of all elliptic curves that lie on $A$ in terms of intersection numbers of divisor classes in its Néron-Severi group.

arXiv commentSome minor changes made. To appear in Illinois Journal of Mathematics

Cited by in corpus (1)

• On a numerical characterization of non-simple principally polarized abelian varieties