Continuity properties of certain weighted log canonical thresholds

DOI10.1016/j.crma.2016.11.005zbMath1370.32013OpenAlexW2565772199MaRDI QIDQ501881

Phạm Hoàng Hiệp

Publication date: 10 January 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.11.005

zbMATH Keywords

plurisubharmonic functionsnon-negative Radon measures

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Related Items (9)

Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets ⋮ Semi-continuity properties of weighted log canonical thresholds of toric plurisubharmonic functions ⋮ A note on the weighted log canonical threshold ⋮ A note on the weighted log canonical threshold of toric plurisubharmonic functions ⋮ Some results on the comparison principle for the weighted log canonical thresholds ⋮ Recent progress in the theory of functions of several complex variables and complex geometry ⋮ Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom) ⋮ Estimates of level sets of holomorphic functions and applications to the weighted log canonical thresholds ⋮ On the weighted log canonical thresholds of plurisubharmonic functions

Cites Work

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• Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
• A sharp lower bound for the log canonical threshold
• The weighted log canonical threshold
• Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
• Attenuating the singularities of plurisubharmonic functions
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$

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