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arxiv: 1506.08973 · v1 · pith:FK3UHUATnew · submitted 2015-06-30 · 🧮 math.AG

On the vanishing of weight one Koszul cohomology of abelian varieties

classification 🧮 math.AG
keywords abeliancohomologykoszulvanishingamplebundlecomplementsgroups
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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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