Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia

Displaying similar documents to “Degenerations of moduli of stable bundles over algebraic curves”

Cohomology of desingularization of moduli space of vector bundles

Nitin Nitsure (1989)

Compositio Mathematica

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Fano bundles of rank 2 on surfaces

Michał Szurek, Jarosław A. Wisniewski (1990)

Compositio Mathematica

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Poincaré bundles for projective surfaces

Nicole Mestrano (1985)

Annales de l'institut Fourier

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Let $X$ be a smooth projective surface, $K$ the canonical divisor, $H$ a very ample divisor and $M_{H} (c_{1}, c_{2})$ the moduli space of rank-two vector bundles, $H$ -stable with Chern classes $c_{1}$ and $c_{2}$ . We prove that, if there exists $c_{1}^{'}$ such that $c_{1}$ is numerically equivalent to $2 c_{1}^{'}$ and if $c_{2} - \frac{1}{4} c_{1}^{2}$ is even, greater or equal to $H^{2} + H K + 4$ , then there is no Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ . Conversely, if there exists $c_{1}^{'}$ such that the number $c_{1}^{'} \cdot c_{1}$ is odd or if $\frac{1}{2} c_{1}^{2} - \frac{1}{2} c_{1} \cdot K - c_{2}$ is odd, then there exists a Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ .

The decomposition and specialization of algebraic families of vector bundles

Stephen S. Shatz (1977)

Compositio Mathematica

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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.

General stable bundles arising as normal bundles of projective curves.

Edoardo Ballico, Luciana Ramella (1999)

Revista Matemática Complutense

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Holomorphic vector bundles on $ℙ_{n}$

Michael Schneider (1978-1979)

Séminaire Bourbaki

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Displaying similar documents to “Degenerations of moduli of stable bundles over algebraic curves”

Cohomology of desingularization of moduli space of vector bundles

Fano bundles of rank 2 on surfaces

Poincaré bundles for projective surfaces

The decomposition and specialization of algebraic families of vector bundles

Remarks on Seshadri constants of vector bundles

General stable bundles arising as normal bundles of projective curves.

Holomorphic vector bundles on ℙ n

Holomorphic vector bundles on $ℙ_{n}$