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

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. "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

Information

Received: 26 February 2019; Accepted: 6 February 2020; Published: 2020
First available in Project Euclid: 30 June 2020

zbMATH: 07224496
MathSciNet: MR4114062
Digital Object Identifier: 10.2140/ant.2020.14.947

Subjects:
Primary: 14K05
Secondary: 14C20 , 14F17 , 14Q20

Keywords: abelian varieties , Fourier–Mukai transform , Syzygies

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 4 • 2020
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