Higher syzygies on general polarized abelian varieties of type $(1,\dots,1,d)$

Atsushi Ito

Higher syzygies on general polarized abelian varieties of type $(1,\dots,1,d)$

Algebraic Geometry 2021-11-24 v2

Authors: Atsushi Ito

Abstract

In this paper, we show that a general polarized abelian variety $(X,L)$ of type $(1,\dots,1,d)$ and dimension $g$ satisfies property $(N_p)$ if $d \geq \sum_{i=0}^{g} (p+2)^i$ . In particular, the case $p=0$ affirmatively solves a conjecture by L. Fuentes Garc\'{\i}a on projective normality.

Keywords

polarized abelian varieties syzygies property n_p projective normality algebraic geometry

Cite

@article{arxiv.2011.09687,
  title  = {Higher syzygies on general polarized abelian varieties of type $(1,\dots,1,d)$},
  author = {Atsushi Ito},
  journal= {arXiv preprint arXiv:2011.09687},
  year   = {2021}
}

Comments

15 pages, arguments and expositions in Sections 4,5 are slightly changed

Related papers

View all related →