Comptes Rendus
no. 5
Mathematical analysis/Complex analysis
Semi-continuity properties of weighted log canonical thresholds of toric plurisubharmonic functions

Presented by: Jean-Pierre Demailly

Nguyen Xuan Hong1
1 Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Hanoi, Viet Nam
Comptes Rendus. Mathématique, Volume 355 (2017) no. 5, pp. 487-492.

In this note, we prove a semi-continuity theorem for certain weighted log canonical thresholds of toric plurisubharmonic functions.

Dans cette note, nous démontrons un théorème de semi-continuité pour certains seuils log canoniques à poids de fonctions plurisousharmoniques toriques.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.04.014

Nguyen Xuan Hong 1

1 Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Hanoi, Viet Nam 
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Nguyen Xuan Hong. Semi-continuity properties of weighted log canonical thresholds of toric plurisubharmonic functions. Comptes Rendus. Mathématique, Volume 355 (2017) no. 5, pp. 487-492. doi : 10.1016/j.crma.2017.04.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.04.014/

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☆ This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2016.06. The author would like to thank the referees for valuable remarks which lead to the improvements of the exposition of the paper.

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