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Displaying similar documents to “On the cohomological strata of families of vector bundles on algebraic surfaces”

Rank-two vector bundles on Hirzebruch surfaces

Marian Aprodu, Vasile Brînzănescu, Marius Marchitan (2012)

Open Mathematics

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We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.

Vanishing of sections of vector bundles on 0-dimensional schemes

Edoardo Ballico (1999)

Commentationes Mathematicae Universitatis Carolinae

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Here we give conditions and examples for the surjectivity or injectivity of the restriction map H 0 ( X , F ) → H 0 ( Z , F | Z ) , where X is a projective variety, F is a vector bundle on X and Z is a “general” 0 -dimensional subscheme of X , Z union of general “fat points”.

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...

Vector bundles on manifolds without divisors and a theorem on deformations

Georges Elencwajg, O. Forster (1982)

Annales de l'institut Fourier

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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.