Extremal cases for the log canonical threshold

Alexander Rashkovskii

doi:10.1016/j.crma.2014.11.002

Complex analysis

Extremal cases for the log canonical threshold
[Cas extrêmes pour le seuil log-canonique]

Présenté par : Jean-Pierre Demailly

Alexander Rashkovskii ¹

¹ Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway

Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 21-24.

Résumé
Abstract

Nous montrons qu'un résultat récent de Demailly et Pham Hoang Hiep [12] implique une description des fonctions plurisousharmoniques avec une masse de Monge–Ampère donnée et le seuil log-canonique le plus petit possible. Nous étudions aussi le cas d'égalité dans l'inégalité de [12].

We show that a recent result of Demailly and Pham Hoang Hiep [12] implies a description of plurisubharmonic functions with given Monge–Ampère mass and smallest possible log canonical threshold. We also study an equality case for the inequality from [12].

Reçu le : 2014-09-03
Accepté le : 2014-11-04
Publié le : 2014-11-20

DOI : 10.1016/j.crma.2014.11.002

Affiliations des auteurs :

Alexander Rashkovskii ¹

¹ Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway

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Alexander Rashkovskii. Extremal cases for the log canonical threshold. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 21-24. doi : 10.1016/j.crma.2014.11.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.11.002/

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