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Singularities of divisors of small degrees on abelian varieties
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classification
math.AG
keywords
abeliansingularitiesampledegreedivisorsmildvarietiesvariety
abstract
Pareschi showed that an ample divisor of degree $d$ on a simple abelian variety of dimension $g$ has mild singularities when $d<g$. We extend his result to general polarized abelian varieties. We also show that ample divisors of degree $3$ or $4$ on an abelian variety have mild singularities.
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