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Comptes Rendus Mathématique
Volume 353, n° 1
pages 21-24 (janvier 2015)
Doi : 10.1016/j.crma.2014.11.002
Received : 3 September 2014 ;  accepted : 4 November 2014
Extremal cases for the log canonical threshold
Cas extrêmes pour le seuil log-canonique
 

Alexander Rashkovskii
 Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway 

Abstract

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]].

The full text of this article is available in PDF format.
Résumé

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]].

The full text of this article is available in PDF format.


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