Syzygies of Kummer varieties-Reference-Cited by-同舟云学术

Syzygies of Kummer varieties

Published:2023-11-07 Issue:2 Volume:377 Page:1357-1370
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Caucci Federico

Abstract

We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties case. Namely, an m m th power of an ample line bundle on a Kummer variety satisfies the Green-Lazarsfeld property ( N p ) (N_p) , if m > p + 2 2 m > \frac {p+2}{2} .

Funder

European Research Council

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2024-377-02/S0002-9947-2023-09062-6/tran9062_AM.pdf

Reference31 articles.

1. P. Bangere and J. Lacini, Syzygies of adjoint linear series on projective varieties, arXiv:2302.02517, 2023.

2. The basepoint-freeness threshold and syzygies of abelian varieties;Caucci, Federico;Algebra Number Theory,2020

3. F. Caucci, The basepoint-freeness threshold, derived invariants of irregular varieties, and stability of syzygy bundles, Ph.D. Thesis Sapienza Università di Roma, \url{https://iris.uniroma1.it/handle/11573/1355436}, 2020.

4. Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension;Ein, Lawrence;Invent. Math.,1993

5. Koszul cohomology and the geometry of projective varieties;Green, Mark L.;J. Differential Geom.,1984

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