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

Sukmoon Huh

Displaying similar documents to “A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4”

Instanton bundles on Fano threefolds

Alexander Kuznetsov (2012)

Open Mathematics

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We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

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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On Picard bundles over Prym varieties.

L. Brambila-Paz, E. Gómez-González, F. Pioli (2001)

Collectanea Mathematica

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On the boundedness of the set of ample vector bundles with fixed sectional genus

E. Ballico (1993)

Rendiconti del Seminario Matematico della Università di Padova

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

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

Sonia Brivio (1998)

Bollettino dell'Unione Matematica Italiana

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Sia $C$ una curva irriducibile nodale di genere aritmetico $p_{a} = 2$ . In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango $2$ , su $C$ .

Displaying similar documents to “A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4”

Instanton bundles on Fano threefolds

Degenerations of moduli of stable bundles over algebraic curves

Fano bundles of rank 2 on surfaces

On Picard bundles over Prym varieties.

On the boundedness of the set of ample vector bundles with fixed sectional genus

Poincaré bundles for projective surfaces

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

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