Comptes Rendus
no. 4
Complex analysis
On the localization of the minimum integral related to the weighted Bergman kernel and its application

Presented by: Jean-Pierre Demailly

Hyeseon Kim1
1 Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, Seoul 02455, Republic of Korea
Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 420-425.

In this note, under an additional condition, we present an alternative proof of a stability theorem for the boundary asymptotics of the Bergman kernel due to T. Ohsawa. Our method relies on the localization of the minimum integral related to the weighted Bergman kernel.

Dans cette note, nous présentons, sous une certaine condition additionnelle, une preuve alternative d'un théorème de stabilité pour le comportement asymptotique à la frontière du noyau de Bergman, démontré antérieurement par T. Ohsawa. Notre méthode s'appuie sur la localisation de l'intégrale minimale liée au noyau de Bergman à poids.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.03.005

Hyeseon Kim 1

1 Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, Seoul 02455, Republic of Korea 
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Hyeseon Kim. On the localization of the minimum integral related to the weighted Bergman kernel and its application. Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 420-425. doi : 10.1016/j.crma.2017.03.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.03.005/

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