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.
Citation
Federico Caucci. "The basepoint-freeness threshold and syzygies of abelian varieties." Algebra Number Theory 14 (4) 947 - 960, 2020. https://doi.org/10.2140/ant.2020.14.947
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