Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications

Author:

Li Yinji,Wang Zhiwei,Zhou Xiangyu

Abstract

In this paper, we show the existence and uniqueness of bounded solutions of the degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and obtain the asymptotics of these solutions. As applications, we give partial answers to the Tosatti-Weinkove conjecture and Demailly-Păun conjecture.

Publisher

American Mathematical Society (AMS)

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