On the vanishing of weight one Koszul cohomology of abelian varieties

Abstract

In this Note we prove the vanishing of (twisted) Koszul cohomology groups $K_{p,1}$ of an abelian variety with values in powers of an ample line bundle. It complements the work of G. Pareschi on the property $(N_p)$.

11 pages

References in corpus (2)

• Asymptotic syzygies of algebraic varieties
• Regularity on abelian varieties III: relationship with Generic Vanishing and applications