Log canonical thresholds and Monge-Ampere masses

TL;DR

This paper establishes an inequality linking log canonical thresholds and Monge-Ampere masses, providing new analytic proofs and extending previous results to the case of dimension 2.

Contribution

It introduces a novel inequality connecting log canonical thresholds with Monge-Ampere masses and offers an analytic proof for existing results in dimension 2.

Findings

Proved an inequality relating log canonical thresholds and Monge-Ampere masses

Provided an analytic proof for a key result in dimension 2

Combined Ohsawa-Takegoshi theorem with existing inequalities

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 $L^2$-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.