ACM bundles, quintic threefolds and counting problems

N. Mohan Kumar; Aroor Rao

Displaying similar documents to “ACM bundles, quintic threefolds and counting problems”

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.

Multiplication of sections of stable vector bundles: the injectivity range.

Ballico, E. (2001)

Rendiconti del Seminario Matematico

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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.

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...

Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

Compositio Mathematica

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A splitting criterion for rank 2 vector bundles on hypersurfaces in $ℙ^{4}$ .

Madonna, C. (1998)

Rendiconti del Seminario Matematico

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General stable bundles arising as normal bundles of projective curves.

Edoardo Ballico, Luciana Ramella (1999)

Revista Matemática Complutense

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On the cohomological strata of families of vector bundles on algebraic surfaces

Edoardo Ballico (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note we study certain natural subsets of the cohomological stratification of the moduli spaces of rank $2$ vector bundles on an algebraic surface. In the last section we consider the following problem: take a bundle $E$ given by an extension, how can one recognize that $E$ is a certain given bundle? The most interesting case considered here is the case $E = T P^{3} (t)$ since it applies to the study of codimension $1$ meromorphic foliations with singularities on $P^{3}$ .