Instanton bundles on Fano threefolds

Alexander Kuznetsov

Displaying similar documents to “Instanton bundles on Fano threefolds”

A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4

Sukmoon Huh (2009)

Open Mathematics

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We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.

Fano bundles of rank 2 on surfaces

Michał Szurek, Jarosław A. Wisniewski (1990)

Compositio Mathematica

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Cohomology of desingularization of moduli space of vector bundles

Nitin Nitsure (1989)

Compositio Mathematica

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Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

Compositio Mathematica

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Ample vector bundles

Robin Hartshorne (1966)

Publications Mathématiques de l'IHÉS

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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 $M_{H} (c_{1}, c_{2}) \times X$ .

Linearization of group stack actions and the Picard group of the moduli of $S L_{r} / μ_{s}$ -bundles on a curve

Yves Laszlo (1997)

Bulletin de la Société Mathématique de France

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Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology

Edoardo Ballico, Francesco Malaspina (2008)

Open Mathematics

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Here we study vector bundles E on the Hirzebruch surface F e such that their twists by a spanned, but not ample, line bundle M = $𝒪$ Fe(h + ef) have natural cohomology, i.e. h 0(F e, E(tM)) > 0 implies h 1(F e, E(tM)) = 0.