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arXiv · 2305.17955

Degenerate complex Monge-Amp\` ere type equations on compact Hermitian manifolds and applications

Yinji Li·Zhiwei Wang·Xiangyu Zhou
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Abstract

We show the existence and uniqueness of bounded solutions to the degenerate complex Monge-Amp\`ere type equations on compact Hermitian manifolds. We also study the asymptotics of these solutions. As applications, we give partial answers to the Tosatti-Weinkove conjecture and Demailly-P\u aun conjecture.

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Yinji Li, Zhiwei Wang, Xiangyu Zhou. 2023-05-29. Degenerate complex Monge-Amp\` ere type equations on compact Hermitian manifolds and applications. https://arxiv.org/abs/2305.17955

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