Estimates of level sets of holomorphic functions and applications to the weighted log canonical thresholds

DOI10.1007/s12220-020-00414-1zbMath1464.32049OpenAlexW3018080715MaRDI QIDQ2024691

Trinh Tung, Le Mau Hai, Phạm Hoàng Hiệp

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00414-1

zbMATH Keywords

plurisubharmonic functionsWeierstrass polynomialsestimates of level sets of holomorphic functionsweighted log canonical thresholds

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25)

Related Items

Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets ⋮ A note on the weighted log canonical threshold ⋮ Some results on the comparison principle for the weighted log canonical thresholds ⋮ ACC conjecture for the weighted log canonical thresholds in dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of Demailly's strong openness conjecture
• Continuity properties of certain weighted log canonical thresholds
• Log canonical thresholds and Monge-Ampère masses
• ACC for log canonical thresholds
• Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
• Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
• Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. (Generalized Lelong numbers, integrability and analyticity theorems)
• Bounds for log canonical thresholds with applications to birational rigidity
• 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
• The Openness Conjecture and Complex Brunn-Minkowski Inequalities
• Multiplicities and log canonical threshold
• THE LOG CANONICAL THRESHOLD OF HOLOMORPHIC FUNCTIONS
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
• Notions of convexity

This page was built for publication: Estimates of level sets of holomorphic functions and applications to the weighted log canonical thresholds