English

Singularities of divisors of low degree on abelian varieties

Algebraic Geometry 2007-05-23 v3

Abstract

Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety is simple or the degree of the polarization is two.

Keywords

Cite

@article{arxiv.math/0503664,
  title  = {Singularities of divisors of low degree on abelian varieties},
  author = {Olivier Debarre and Christopher Hacon},
  journal= {arXiv preprint arXiv:math/0503664},
  year   = {2007}
}

Comments

Minor modifications, improved exposition. 13 pages