Log canonical thresholds and Monge-Ampere masses

2016/04/06 by Phạm Hoàng Hiệp, Hiep, Pham Hoang · 1 citation
Mathematics · #14B05 #32S05 #32S10 #32U25 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1604.01506

openalex publication_date 2016/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove an inequality for log canonical thresholds and Monge-Ampere masses. The idea of proof is a combination of the Ohsawa-Takegoshi L²-extension theorem and inequalities in [ACKHZ09], [DH14]. It also give an analytic proof for the main result in [DH14] in the case of dimension 2.

Citations

• Extension of holomorphic functions defined on non reduced analytic subvarieties
• On the extension ofL 2 holomorphic functions

Cited by

• Some inequalities for the weighted log canonical thresholds

Related

• Extremal cases for the log canonical threshold
• The weighted log canonical threshold
• Some inequalities for the weighted log canonical thresholds
• ACC for log canonical thresholds
• IMPANGA lecture notes on log canonical thresholds