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

2022 ◽  
Author(s):  
Le Mau Hai ◽  
Pham Hoang Hiep ◽  
Trinh Tung
Keyword(s):  
Plurisubharmonic Functions ◽  
Lelong Number ◽  
Log Canonical

Hessian boundary measures

2019 ◽  
Vol 30 (03) ◽  
pp. 1950016
Author(s):  
Van Thien Nguyen
Keyword(s):  
Subharmonic Functions ◽  
Plurisubharmonic Functions ◽  
Lelong Number ◽  
Boundary Measure ◽  
Hessian Operator ◽  
Complex Hessian Operator ◽  
Monge Ampere

We will study certain boundary measures related to [Formula: see text]-subharmonic functions on [Formula: see text]-hyperconvex domains. These measures generalize the boundary measures studied by Wan and Wang (see [Complex Hessian operator and Lelong number for unbounded [Formula: see text]-subharmonic functions, Potential. Anal. 44(1) (2016) 53–69]). For the case of plurisubharmonic functions ([Formula: see text]) the boundary measure has been studied by Cegrell and Kemppe (see [Monge–Ampère boundary measures, Ann. Polon. Math. 96 (2009) 175–196]).

The weighted log canonical thresholds of toric plurisubharmonic functions

2015 ◽  
Vol 353 (2) ◽  
pp. 127-131 ◽  
Author(s):  
Pham Hoang Hiep ◽  
Trinh Tung
Keyword(s):  
Plurisubharmonic Functions ◽  
Log Canonical
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