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arxiv: math/0503664 · v3 · submitted 2005-03-29 · 🧮 math.AG

Singularities of divisors of low degree on abelian varieties

classification 🧮 math.AG
keywords abeliandegreedivisorssingularitiesvarietyamplebuildingcase
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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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