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arXiv · 2504.15763

Modulus of continuity of Monge--Amp\`ere potentials in big cohomology classes

Quang-Tuan Dang·Hoang-Son Do·Hoang Hiep Pham
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Abstract

In this paper, we prove a uniform estimate for the modulus of continuity of solutions to degenerate complex Monge--Amp\`ere equation in big cohomology classes. This improves the previous results of Di Nezza--Lu and of the first author.

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Quang-Tuan Dang, Hoang-Son Do, Hoang Hiep Pham. 2025-04-22. Modulus of continuity of Monge--Amp\`ere potentials in big cohomology classes. https://arxiv.org/abs/2504.15763

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