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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.
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.
Guan, Qi'an 1 ; Zhou, Xiangyu 2
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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.