DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS-Reference-Cited by-同舟云学术

DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS

Published:2010-03 Issue:03 Volume:21 Page:357-405
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

DEMAILLY JEAN-PIERRE¹,PALI NEFTON²

Affiliation:

1. Université de Grenoble I, Département de Mathématiques, Institut Fourier, 38402 Saint-Martin d'Hères, France

2. Université Paris Sud, Département de Mathématiques, Bâtiment 425 F91405 Orsay, France

Abstract

We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge–Ampère equations, and investigate their regularity. These types of equations are precisely what is needed in order to construct Kähler–Einstein metrics over irreducible singular Kähler spaces with ample or trivial canonical sheaf and singular Kähler–Einstein metrics over varieties of general type.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X10006070

Reference35 articles.

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