[Nombres de Lelong, exposants de singularités complexes et théorème de semi-continuité de Siu]
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.
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@article{CRMATH_2017__355_4_415_0,
author = {Guan, Qi'an and Zhou, Xiangyu},
title = {Lelong numbers, complex singularity exponents, and {Siu's} semicontinuity theorem},
journal = {Comptes Rendus. Math\'ematique},
pages = {415--419},
publisher = {Elsevier},
volume = {355},
number = {4},
year = {2017},
doi = {10.1016/j.crma.2017.03.006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.03.006/}
}
TY - JOUR AU - Guan, Qi'an AU - Zhou, Xiangyu TI - Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem JO - Comptes Rendus. Mathématique PY - 2017 SP - 415 EP - 419 VL - 355 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.03.006/ DO - 10.1016/j.crma.2017.03.006 LA - en ID - CRMATH_2017__355_4_415_0 ER -
%0 Journal Article %A Guan, Qi'an %A Zhou, Xiangyu %T Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem %J Comptes Rendus. Mathématique %D 2017 %P 415-419 %V 355 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.03.006/ %R 10.1016/j.crma.2017.03.006 %G en %F CRMATH_2017__355_4_415_0
Guan, Qi'an; Zhou, Xiangyu. Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem. Comptes Rendus. Mathématique, Tome 355 (2017) no. 4, pp. 415-419. doi : 10.1016/j.crma.2017.03.006. http://www.numdam.org/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.
