Corrigendum to: Holomorphic Morse inequalities on manifolds with boundary
[Corrigendum : inégalités de Morse holomorphes sur des variétés à bord]
Berman, Robert1
1 Chalmers University of Technology Department of Mathematics Eklandag 86 412 96 Göteborg (Sweden)
Annales de l'Institut Fourier, Tome 58 (2008) no. 1, pp. 377-381.
corrige Holomorphic Morse Inequalities on Manifolds with Boundary
[Inégalités de Morse holomorphes sur des variétés à bord]

Nous corrigeons l’énoncé qui affirme que les inégalités de Morse holomorphes pour un fibré hermitien en droites L sur X sont optimales tant que L s’étend comme un fibré semi-positif sur un remplissage Stein, paru dans l’article “Inégalités de Morse holomorphes sur des variétés à bord”. Nous ajoutons certaines conditions et considérons une situation plus générale.

A statement in the paper “Holomorphic Morse inequalities on manifolds with boundary” saying that the holomorphic Morse inequalities for an hermitian line bundle L over X are sharp as long as L extends as semi-positive bundle over a Stein-filling is corrected, by adding certain assumptions. A more general situation is also treated.

DOI : 10.5802/aif.2354
Classification : 32L10, 32A25, 32L20
Keywords: Line bundles, cohomology, harmonic forms, holomorphic sections, Bergman kernel
Mot clés : fibré en droite, cohomologie, formes harmoniques, sections holomorphes, noyau de Bergman
Berman, Robert 1

1 Chalmers University of Technology Department of Mathematics Eklandag 86 412 96 Göteborg (Sweden) 
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     title = {Corrigendum to: {Holomorphic} {Morse} inequalities on manifolds with boundary},
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Berman, Robert. Corrigendum to: Holomorphic Morse inequalities on manifolds with boundary. Annales de l'Institut Fourier, Tome 58 (2008) no. 1, pp. 377-381. doi : 10.5802/aif.2354. http://www.numdam.org/articles/10.5802/aif.2354/

[1] Berman, R. Holomorphic Morse inequalities on manifolds with boundary, Ann. Inst. Fourier (Grenoble), Volume 55 (2005) no. 4, pp. 1055-1103 | DOI | Numdam | MR | Zbl

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