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arXiv · 2410.18532

Uniform diameter estimates for Kaehler metrics in big cohomology classes

Duc-Bao Nguyen·Duc-Viet Vu
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Abstract

We generalize previous diameter estimates and local non-vanishing of volumes for Kaehler metrics to the case of big cohomology classes. In our proof, among other things, we will prove a uniform diameter estimate for a family of smooth Kaehler metrics only involving an integrability condition. We also have to use fine stability properties of complex Monge-Ampere equations with prescribed singularities.

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BibTeXRIS

Duc-Bao Nguyen, Duc-Viet Vu. 2024-10-24. Uniform diameter estimates for Kaehler metrics in big cohomology classes. https://arxiv.org/abs/2410.18532

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