Relative pluripotential theory on compact Kähler manifolds

Given a compact K\"ahler manifold, we survey the study of complex Monge-Ampère 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 Mong...

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Bibliographic Details
Published in:arXiv.org 2023-10
Main Authors: Darvas, Tamás, Eleonora Di Nezza, Lu, Chinh H
Format: Article
Language:English
Subjects:
Manifolds
Online Access:Get full text
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Summary:Given a compact K\"ahler manifold, we survey the study of complex Monge-Ampère 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-Ampère operator.
ISSN:2331-8422