Robert Berman (2008)
Annales de l’institut Fourier
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A statement in the paper “Holomorphic Morse inequalities on manifolds with boundary” saying that the holomorphic Morse inequalities for an hermitian line bundle over are sharp as long as extends as semi-positive bundle over a Stein-filling is corrected, by adding certain assumptions. A more general situation is also treated.
Johannes Sjöstrand (2004-2005)
Séminaire Équations aux dérivées partielles
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Nous discutons l’asymptotique des noyaux de Bergman pour des puissances élevées de fibrés de droites, d’après deux travaux récents avec B.Berndtsson et R. Berman.
Yum-Tong Siu (1985-1986)
Séminaire Bourbaki
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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.
George Marinescu (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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