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

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 $d\ge {\sum }_{i=0}^g(p+2{)}^i$. In particular, the case $p=0$ affirmatively solves a conjecture by L. Fuentes Garc\'ıa on projective normality.

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

References in corpus (1)

• Cohomological rank functions and Syzygies of abelian varieties

Cited by in corpus (1)

• Chern degree functions