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Lelong Number and the Log Canonical Thresholds of Plurisubharmonic Functions on Analytic Subsets
Le Mau Hai
,
Pham Hoang Hiep
,
Trinh Tung
Abstract
The aim of this paper is to introduce the notion of Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets $A$ in an open subset $\Omega$ of $\mathbb C^n$. Next, we establish some results about the relationship between these quantities in the relation with the analyticity of $A$.