English

Elliptic curves on abelian varieties

Algebraic Geometry 2016-03-01 v2

Abstract

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

Keywords

Cite

@article{arxiv.1507.08617,
  title  = {Elliptic curves on abelian varieties},
  author = {Robert Auffarth},
  journal= {arXiv preprint arXiv:1507.08617},
  year   = {2016}
}

Comments

Some minor changes made. To appear in Illinois Journal of Mathematics

R2 v1 2026-06-22T10:22:42.355Z