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Lelong Number and the Log Canonical Thresholds of Plurisubharmonic Functions on Analytic Subsets

$icon-email$ 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 $Ω$ of $C^{n}$ . Next, we establish some results about the relationship between these quantities in the relation with the analyticity of $A$ .

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Lelong Number and the Log Canonical Thresholds of Plurisubharmonic Functions on Analytic Subsets

Abstract