Non-simple vector bundles on curves.

Ballico, E.

Displaying similar documents to “Non-simple vector bundles on curves.”

Decomposable subbundles of polystable vector bundles on projective curves.

Edoardo Ballico (1999)

Collectanea Mathematica

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The decomposition and specialization of algebraic families of vector bundles

Stephen S. Shatz (1977)

Compositio Mathematica

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The subbundles of decomposable vector bundles over on elliptic curve.

Edoardo Ballico (1998)

Collectanea Mathematica

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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.

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

Ballico, E. (2001)

Rendiconti del Seminario Matematico

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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 $C$ .

A splitting criterion for rank 2 vector bundles on hypersurfaces in $ℙ^{4}$ .

Madonna, C. (1998)

Rendiconti del Seminario Matematico

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On The Brill-noether Theory of Spanned Vector Bundles on Smooth Curves

Ballico, E. (1999)

Serdica Mathematical Journal

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Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists a rank r stable vector bundle with degree d and spanned by its global sections.

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”.