The complex Monge-Ampere type equation on compact Hermitian manifolds and applications

被引：26

作者：

Ngoc Cuong Nguyen ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, PL-30348 Krakow, Poland

来源：

ADVANCES IN MATHEMATICS | 2016年 / 286卷

关键词：

Monge-Ampere equations; Hermitian manifolds; Pluripotential theory; Weak solutions; KAHLER CONE; CRITERION;

D O I：

10.1016/j.aim.2015.09.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of continuous solutions to the complex Monge Ampere type equation with the right hand side in LP, p > 1, on compact Hermitian manifolds. Next, we generalise results of Eyssidieux, Guedj and Zeriahi [17,18] to compact Hermitian manifolds which a priori are not in the Fujild class. These generalisations lead to a number of applications: we obtain partial results on a conjecture of Tosatti and Weinkove [40] and on a weak form of a conjecture of Demailly and Paun [11]. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：240 / 285

页数：46

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