Ko{\l}odziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property

Lei Zhang

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arXiv · 2412.01586

Ko{\l}odziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property

Lei Zhang

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Abstract

In this note, we show a conjecture of Ko{\l}odziej-Tosatti about Morse-type integrals in nef $(1,1)$ classes on compact Hermitian manifold with bounded mass property. As a consequence, we give positive answers to Demailly-P\u{a}un's conjecture and Tosatti-Weinkove's conjecture when compact Hermitian manifold with bounded mass property.

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Lei Zhang. 2024-12-02. Ko{\l}odziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property. https://arxiv.org/abs/2412.01586

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