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

Yinji Li, Zhiwei Wang, Xiangyu Zhou

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Source: Crossref

Published: Jun 18, 2024

DOI: 10.1090/tran/9199

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Source 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.

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Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications — Mathematical Frontier Network