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 (Np) (G. Pareschi, J. Amer. Math. Soc. 13 (2000) 651-664)
dissertationVanishing theorems play a paramount role in modern birational geometry. Over elds of cha...
We establish a-and conjecture further-relationship between the existence of subvarieties representin...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
AbstractWe give examples of Koszul rings that arise naturally in algebraic geometry. In the first pa...
The purpose of this paper is to prove Ein--Lazarsfeld's conjecture on asymptotic vanishing of syzygi...
We prove that the kernel of the evaluation morphism of global sections namely the syzygy bundle ...
We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties c...
For a polarized abelian variety, Z. Jiang and G. Pareschi introduce an invariant and show that the p...
AbstractWe give a criterion for the section ring of an ample line bundle to be Koszul in terms of mu...
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear sys...
AbstractIn this article we prove results concerning the vanishing of Koszul cohomology groups on K3 ...
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear sys...
Let X be a smooth projective variety and let L be a very ample divisor of X embedding it in ℙN. In t...
AbstractSeveral spectral sequence techniques are used in order to derive information about the struc...
We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli ...
dissertationVanishing theorems play a paramount role in modern birational geometry. Over elds of cha...
We establish a-and conjecture further-relationship between the existence of subvarieties representin...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
AbstractWe give examples of Koszul rings that arise naturally in algebraic geometry. In the first pa...
The purpose of this paper is to prove Ein--Lazarsfeld's conjecture on asymptotic vanishing of syzygi...
We prove that the kernel of the evaluation morphism of global sections namely the syzygy bundle ...
We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties c...
For a polarized abelian variety, Z. Jiang and G. Pareschi introduce an invariant and show that the p...
AbstractWe give a criterion for the section ring of an ample line bundle to be Koszul in terms of mu...
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear sys...
AbstractIn this article we prove results concerning the vanishing of Koszul cohomology groups on K3 ...
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear sys...
Let X be a smooth projective variety and let L be a very ample divisor of X embedding it in ℙN. In t...
AbstractSeveral spectral sequence techniques are used in order to derive information about the struc...
We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli ...
dissertationVanishing theorems play a paramount role in modern birational geometry. Over elds of cha...
We establish a-and conjecture further-relationship between the existence of subvarieties representin...
X. For L ample the Kodaira Vanishing Theorem says that H i(X,L−1) = 0, for i < dimX. Recall that...
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