Corrigendum to: Holomorphic Morse inequalities on manifolds with boundary
Annales de l'Institut Fourier, Volume 58 (2008) no. 1, p. 377-381

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.

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.

DOI : https://doi.org/10.5802/aif.2354
Classification:  32L10,  32A25,  32L20
Keywords: Line bundles, cohomology, harmonic forms, holomorphic sections, Bergman kernel
@article{AIF_2008__58_1_377_0,
author = {Berman, Robert},
title = {Corrigendum to: Holomorphic Morse inequalities on manifolds with boundary},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {58},
number = {1},
year = {2008},
pages = {377-381},
doi = {10.5802/aif.2354},
mrnumber = {2401226},
zbl = {1137.32304},
language = {en},
url = {http://www.numdam.org/item/AIF_2008__58_1_377_0}
}

Berman, Robert. Corrigendum to: Holomorphic Morse inequalities on manifolds with boundary. Annales de l'Institut Fourier, Volume 58 (2008) no. 1, pp. 377-381. doi : 10.5802/aif.2354. http://www.numdam.org/item/AIF_2008__58_1_377_0/

[1] Berman, R. Holomorphic Morse inequalities on manifolds with boundary, Ann. Inst. Fourier (Grenoble), Tome 55 (2005) no. 4, pp. 1055-1103 | Article | Numdam | MR 2157164 | Zbl 1082.32001