Singularities of divisors of low degree on abelian varieties

Details Singularities of divisors of low degree on abelian varieties Singularities of divisors of low degree on abelian varieties

2005-03-29

arxiv.org/abs/math/0503664v3

Mathematics

Algebraic Geometry

Minor modifications, improved exposition. 13 pages

Scientific paper

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.

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