Fano bundles of rank 2 on surfaces
Michał Szurek, Jarosław A. Wisniewski (1990)
Compositio Mathematica
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Michał Szurek, Jarosław A. Wisniewski (1990)
Compositio Mathematica
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Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
Nicole Mestrano (1985)
Annales de l'institut Fourier
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Let be a smooth projective surface, the canonical divisor, a very ample divisor and the moduli space of rank-two vector bundles, -stable with Chern classes and . We prove that, if there exists such that is numerically equivalent to and if is even, greater or equal to , then there is no Poincaré bundle on . Conversely, if there exists such that the number is odd or if is odd, then there exists a Poincaré bundle on .
Robin Hartshorne (1966)
Publications Mathématiques de l'IHÉS
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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.
Norman Goldstein (1984)
Compositio Mathematica
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Nitin Nitsure (1989)
Compositio Mathematica
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Huashi Xia (1995)
Compositio Mathematica
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