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arXiv · 2305.15687

Singularities of divisors of small degrees on abelian varieties

Zhi Jiang·Hui Liu
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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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Zhi Jiang, Hui Liu. 2023-05-25. Singularities of divisors of small degrees on abelian varieties. https://arxiv.org/abs/2305.15687

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