On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$

Sonia Brivio

Displaying similar documents to “On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$ ”

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.

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

Ballico, E. (2001)

Rendiconti del Seminario Matematico

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Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.

Montserrat Teixidor i Bigas (1998)

Collectanea Mathematica

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Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present...

Non-simple vector bundles on curves.

Ballico, E. (2001)

Rendiconti del Seminario Matematico

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The decomposition and specialization of algebraic families of vector bundles

Stephen S. Shatz (1977)

Compositio Mathematica

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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 $H^{0} (X, F) \to H^{0} (Z, F | Z)$ , 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”.

Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

Compositio Mathematica

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Displaying similar documents to “On rank 2 semistable vector bundles over an irreducible nodal curve of genus 2 ”

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

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

Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.

Non-simple vector bundles on curves.

The decomposition and specialization of algebraic families of vector bundles

Vanishing of sections of vector bundles on 0-dimensional schemes

Degenerations of moduli of stable bundles over algebraic curves

Displaying similar documents to “On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$ ”