THE LOG CANONICAL THRESHOLD OF HOLOMORPHIC FUNCTIONS

DOI10.1142/S0129167X12501157zbMath1267.32027OpenAlexW2018013855MaRDI QIDQ4908355

Phạm Hoàng Hiệp, Le Mau Hai, Vu Viet Hung

Publication date: 5 March 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12501157

zbMATH Keywords

ascending chain conditionlog canonical thresholdslevel sets of holomorphic functionsvolume of the level set of holomorphic functions

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05) Lelong numbers (32U25)

Related Items (5)

Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets ⋮ Log-canonical thresholds in real and complex dimension 2 ⋮ Some results on the comparison principle for the weighted log canonical thresholds ⋮ The weighted log canonical threshold ⋮ Estimates of level sets of holomorphic functions and applications to the weighted log canonical thresholds

Cites Work

• Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
• Two two-dimensional terminations
• Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
• Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function
• Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
• On a conjecture of Demailly and Kollár

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