Add to ORKGThe paper investigates vanishing conditions on the first cohomology module of a normalized rank $2$ vector bundle $\shE$ on $\PP^3$ which force $\shE$ to split, and finds therefore strategic levels of non-vanishing for a non-split bundle. The present conditions improve other conditions known in the literature and are obtained with simple computations on the Euler characteristic function, avoiding the speciality lemma, Barth's restriction theorem, the discriminat property, and other heavy tools
Abstract. Let X be a smooth projective hypersurface. In this note we show that any rank 3 (resp. ran...
We show that on a general sextic hypersurface X ⊂ P^4 , a rank 2 vector bundle E splits if and only...
Abstract. We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypers...
The paper investigates vanishing conditions on the first cohomology module of a normalized rank $2$ ...
ABSTRACT. The paper investigates vanishing conditions on the first cohomology module of a normalized...
The paper investigates vanishing conditions on the intermediate cohomology of a normalized rank 2 ve...
The paper investigates the non-vanishing of $H^1(\shE(n))$, where $\shE$ is a (normalized) rank two...
The paper investigates vanishing conditions on the intermediate cohomology of a normalized rank $2$ ...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we address the classification of rank 2 vector bundles E, over P^2(C), such that the z...
In this article we give a vanishing result for the cohomology groups Hp,q(X,Š E⊗ L), wher...
The point of this paper is to give a short, direct proof that rank $2$ toric vector bundles on ...
Abstract. Let fs: Xs → P2 be the blowing-up of s distinct points and E a vector bundle on Xs. Here w...
Abstract. We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypers...
AbstractWe use the Grossberg–Karshon's degeneration of Bott–Samelson varieties to toric varieties an...
Abstract. Let X be a smooth projective hypersurface. In this note we show that any rank 3 (resp. ran...
We show that on a general sextic hypersurface X ⊂ P^4 , a rank 2 vector bundle E splits if and only...
Abstract. We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypers...
The paper investigates vanishing conditions on the first cohomology module of a normalized rank $2$ ...
ABSTRACT. The paper investigates vanishing conditions on the first cohomology module of a normalized...
The paper investigates vanishing conditions on the intermediate cohomology of a normalized rank 2 ve...
The paper investigates the non-vanishing of $H^1(\shE(n))$, where $\shE$ is a (normalized) rank two...
The paper investigates vanishing conditions on the intermediate cohomology of a normalized rank $2$ ...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we address the classification of rank 2 vector bundles E, over P^2(C), such that the z...
In this article we give a vanishing result for the cohomology groups Hp,q(X,Š E⊗ L), wher...
The point of this paper is to give a short, direct proof that rank $2$ toric vector bundles on ...
Abstract. Let fs: Xs → P2 be the blowing-up of s distinct points and E a vector bundle on Xs. Here w...
Abstract. We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypers...
AbstractWe use the Grossberg–Karshon's degeneration of Bott–Samelson varieties to toric varieties an...
Abstract. Let X be a smooth projective hypersurface. In this note we show that any rank 3 (resp. ran...
We show that on a general sextic hypersurface X ⊂ P^4 , a rank 2 vector bundle E splits if and only...
Abstract. We prove that any rank two arithmetically Cohen-Macaulay vector bundle on a general hypers...