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arXiv · 1902.07774

The basepoint-freeness threshold and syzygies of abelian varieties

Federico Caucci
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Abstract

We show how a natural constant introduced by Jiang and Pareschi for a polarized abelian variety encodes information about the syzygies of the section ring of the polarization. As a particular case this gives a quick and characteristic-free proof of Lazarsfeld's conjecture on syzygies of abelian varieties, originally proved by Pareschi in characteristic zero.

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Federico Caucci. 2020-02-17. The basepoint-freeness threshold and syzygies of abelian varieties. https://doi.org/10.2140/ant.2020.14.947

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