Displaying similar documents to “A splitting criterion for rank 2 vector bundles on hypersurfaces in ℙ 4 .”

Rank-two vector bundles on general quartic hypersurfaces in P.

Carlo Madonna (2000)

Revista Matemática Complutense

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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.

On Buchsbaum bundles on quadric hypersurfaces

Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)

Open Mathematics

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Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must...

The subbundles of decomposable vector bundles over on elliptic curve.

Edoardo Ballico (1998)

Collectanea Mathematica

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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.

Rank 4 vector bundles on the quintic threefold

Carlo Madonna (2005)

Open Mathematics

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By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...

Remarks on Seshadri constants of vector bundles

Christopher Hacon (2000)

Annales de l'institut Fourier

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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.