Multiplication of sections of stable vector bundles: the injectivity range.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Displaying similar documents to “The subbundles of decomposable vector bundles over on elliptic curve.”
Multiplication of sections of stable vector bundles: the injectivity range.
Decomposable subbundles of polystable vector bundles on projective curves.
Edoardo Ballico (1999)
Collectanea Mathematica
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A splitting criterion for rank 2 vector bundles on hypersurfaces in .
Madonna, C. (1998)
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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Non-simple vector bundles on curves.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Rank 4 vector bundles on the quintic threefold
Carlo Madonna (2005)
Open Mathematics
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By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...
Rank-two vector bundles on general quartic hypersurfaces in P.
Carlo Madonna (2000)
Revista Matemática Complutense
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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Svetlana Ermakova (2015)
Complex Manifolds
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In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
Vasile Brînzănescu, Ruxandra Moraru (2005)
Annales de l’institut Fourier
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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.