Singularities of divisors of small degrees on abelian varieties
Algebraic Geometry
2023-06-01 v2
Abstract
Pareschi showed that an ample divisor of degree on a simple abelian variety of dimension has mild singularities when . We extend his result to general polarized abelian varieties. We also show that ample divisors of degree or on an abelian variety have mild singularities.
Cite
@article{arxiv.2305.15687,
title = {Singularities of divisors of small degrees on abelian varieties},
author = {Zhi Jiang and Hui Liu},
journal= {arXiv preprint arXiv:2305.15687},
year = {2023}
}
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