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2016•MPG.PuRe (Max Planck Society)Open access

On the vanishing of weight one Koszul cohomology of abelian varieties

Aprodu, M., Lombardi, L.

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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 $(N_p)$.

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What this paper is about

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 $(N_p)$.

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Available 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 $(N_p)$.

Key concepts: Mathematics, Cohomology, Abelian group, Pure mathematics, Line bundle, Variety (cybernetics), Abelian variety, Statistics

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