Residues of singular holomorphic foliations
Sinan Sertöz (1989)
Compositio Mathematica
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Displaying similar documents to “A note on characterization of Moishezon spaces.”
Residues of singular holomorphic foliations
Vector bundles on manifolds without divisors and a theorem on deformations
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.
Varieties whose hyperplane section are bundles
Maria Lucia Fania, Andrew John Sommese (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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An effective Matsusaka big theorem
Yum-Tong Siu (1993)
Annales de l'institut Fourier
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Ample vector bundles
Robin Hartshorne (1966)
Publications Mathématiques de l'IHÉS
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On Bănică sheaves and Fano manifolds
Edoardo Ballico, Jarosław A. Wisniewski (1996)
Compositio Mathematica
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Hyperholomorphic connections on coherent sheaves and stability
Misha Verbitsky (2011)
Open Mathematics
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Let M be a hyperkähler manifold, and F a reflexive sheaf on M. Assume that F (away from its singularities) admits a connection ▿ with a curvature Θ which is invariant under the standard SU(2)-action on 2-forms. If Θ is square-integrable, such sheaf is called hyperholomorphic. Hyperholomorphic sheaves were studied at great length in [21]. Such sheaves are stable and their singular sets are hyperkähler subvarieties in M. In the present paper, we study sheaves admitting a connection with...