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arxiv: 2504.15763 · v2 · pith:IRVVNRXYnew · submitted 2025-04-22 · 🧮 math.CV

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

classification 🧮 math.CV
keywords classescohomologycontinuitymodulusmonge--ampauthorcomplexdegenerate
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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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