Relative pluripotential theory on compact Kahler manifolds

被引：0

作者：

Darvas, Tamas ^{[1
]}

Di Nezza, Eleonora ^{[2
]}

Lu, Chinh H. ^{[3
]}

机构：

[1] Univ Maryland, College Pk, MD 20742 USA

[2] Sorbonne Univ, Paris, France

[3] Univ Angers, CNRS, LAREMA, SFR MATHST, 2 Bd Lavoisier, F-49000 Angers, France

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2025年 / 21卷 / 03期

基金：

美国国家科学基金会;

关键词：

MONGE-AMPERE EQUATIONS; DIRICHLET PROBLEM; METRIC GEOMETRY; RICCI CURVATURE; SINGULARITY; ENVELOPES; MONOTONICITY; ENERGY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a compact Kahler manifold, we survey the study of complex Monge-Ampere type equations with prescribed singularity type, developed by the authors in a series of papers. In addition, we give a general answer to a question of Guedj-Zeriahi about the finite energy range of the complex Monge-Ampere operator.

引用

页码：1037 / 1118

页数：82

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