Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem

Qi'an Guan; Xiangyu Zhou

doi:10.1016/j.crma.2017.03.006

Complex analysis/Analytic geometry

Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem
[Nombres de Lelong, exposants de singularités complexes et théorème de semi-continuité de Siu]

Présenté par : Jean-Pierre Demailly

Qi'an Guan ¹ ; Xiangyu Zhou ²

¹ School of Mathematical Sciences, and Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China
² Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, China

Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 415-419.

Résumé
Abstract

Dans cette note, nous décrivons une relation entre les nombres de Lelong et les exposants de singularités complexes. Comme application, nous obtenons une nouvelle preuve du théorème de semi-continuité de Siu pour les nombres de Lelong.

In this note, we describe a relation between Lelong numbers and complex singularity exponents. As an application, we obtain a new proof of Siu's semicontinuity theorem for Lelong numbers.

Reçu le : 2015-10-14
Accepté le : 2017-03-10
Publié le : 2017-03-22

DOI : 10.1016/j.crma.2017.03.006

Affiliations des auteurs :

Qi'an Guan ¹ ; Xiangyu Zhou ²

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     title = {Lelong numbers, complex singularity exponents, and {Siu's} semicontinuity theorem},
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     pages = {415--419},
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Qi'an Guan; Xiangyu Zhou. Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem. Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 415-419. doi : 10.1016/j.crma.2017.03.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.03.006/

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Cité par Sources :

^☆ The authors were partially supported by NSFC-11431013. The second author would like to thank NTNU for offering him Onsager Professorship. The first author was partially supported by NSFC-11522101.

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