General stable bundles arising as normal bundles of projective curves.

Edoardo Ballico; Luciana Ramella

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Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia (1995)

Compositio Mathematica

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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 the existence of curves in $ℙ^{n}$ with stable normal bundle

Edoardo Ballico, Luciana Ramella (1999)

Annales Polonici Mathematici

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We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in $ℙ^{n}$ with degree d and genus g has a stable normal bundle $N_{C}$ .

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

Fano bundles of rank 2 on surfaces

Michał Szurek, Jarosław A. Wisniewski (1990)

Compositio Mathematica

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Hecke curves and Hitchin discriminant

Jun-Muk Hwang, S. Ramanan (2004)

Annales scientifiques de l'École Normale Supérieure

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Displaying similar documents to “General stable bundles arising as normal bundles of projective curves.”

Degenerations of moduli of stable bundles over algebraic curves

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

Remarks on Seshadri constants of vector bundles

On the existence of curves in ℙ n with stable normal bundle

Poincaré bundles for projective surfaces

Fano bundles of rank 2 on surfaces

Hecke curves and Hitchin discriminant

On the existence of curves in $ℙ^{n}$ with stable normal bundle