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A sharp lower bound for the log canonical threshold
Citations:
60
References:
28
Abstract
In this note, we prove a sharp lower bound for the log canonical threshold of a plurisubharmonic function φ with an isolated singularity at 0 in an open subset of Cn. This threshold is defined as the supremum of constants c > 0 such that e-2cφ is integrable on a neighborhood of 0. We relate c(φ) to the intermediate multiplicity numbers ej(φ), defined as the Lelong numbers of (ddcφ)j at 0 (so that ...
Keywords
2014
Article
Open Access
Publisher
2-Y Citation Average
6.842
Language
A sharp lower bound for the log canonical threshold
Citations:
60
References:
28
Abstract
In this note, we prove a sharp lower bound for the log canonical threshold of a plurisubharmonic function φ with an isolated singularity at 0 in an open subset of Cn. This threshold is defined as the supremum of constants c > 0 such that e-2cφ is integrable on a neighborhood of 0. We relate c(φ) to the intermediate multiplicity numbers ej(φ), defined as the Lelong numbers of (ddcφ)j at 0 (so that ...
Keywords
2014
Article
Open Access
Publisher
2-Y Citation Average
6.842
Language