Singular Calabi-Yau metrics
Eleonora Di Nezza, Chinh H. Lu
TL;DR
This paper surveys recent advances in solving complex Monge-Ampère equations on Hermitian manifolds, focusing on singular Calabi-Yau metrics and their mathematical properties.
Contribution
It compiles and discusses known results on complex Monge-Ampère equations related to singular Calabi-Yau metrics over the past fifteen years.
Findings
Summary of key results on complex Monge-Ampère equations
Insights into singular Calabi-Yau metrics
Overview of methods used in recent research
Abstract
These are notes of lectures given by the first named author during the CIME Summer school Calabi-Yau varieties. We survey known results concerning the complex Monge-Amp\`ere equations in Hermitian contexts obtained by many authors during the last fifteen years.
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