Asymptotic Morse inequalities for analytic sheaf cohomology
Yum-Tong Siu (1985-1986)
Séminaire Bourbaki
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Displaying similar documents to “Asymptotic Morse inequalities for pseudoconcave manifolds”
Asymptotic Morse inequalities for analytic sheaf cohomology
Carleman estimates for the Laplace-Beltrami equation on complex manifolds
Aldo Andreotti, Edoardo Vesentini (1965)
Publications Mathématiques de l'IHÉS
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The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
Jean-Michel Bismut, E. Vasserot (1990)
Annales de l'institut Fourier
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The purpose of this paper is to calculate the asymptotics of the Ray-Singer analytic torsion associated with the -th symmetric power of a holomorphic Hermitian positive vector bundle when tends to . We thus extend our previous results on positive line bundles.
Remarks on integral inequalities on complex manifolds
Edoardo Vesentini (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Compact Kähler manifolds with hermitian semipositive anticanonical bundle
Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1996)
Compositio Mathematica
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A converse to the Andreotti-Grauert theorem
Jean-Pierre Demailly (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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The goal of this paper is to show that there are strong relations between certain Monge-Ampère integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of holomorphic line bundles. Especially, we prove that these relations hold without restriction for projective surfaces, and in the special case of the volume, i.e. of asymptotic -cohomology, for all projective manifolds. These results can be seen as a partial converse to the Andreotti-Grauert...