An effective Matsusaka big theorem
Yum-Tong Siu (1993)
Annales de l'institut Fourier
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Displaying similar documents to “Cauchy-Leray forms and vector bundles”
An effective Matsusaka big theorem
On complete intersections
Franc Forstnerič (2001)
Annales de l’institut Fourier
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We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjöstrand (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.
Non-trivial characteristic invariants of homogeneous foliated bundles
Franz W. Kamber, Philippe Tondeur (1975)
Annales scientifiques de l'École Normale Supérieure
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Eta invariants and complex immersions
Jean-Michel Bismut (1990)
Bulletin de la Société Mathématique de France
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Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
Bo Berndtsson, Jean-Pierre Rosay (2003)
Annales de l’institut Fourier
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We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.