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arXiv · 2609.00810

Uniqueness and Stability of Monge--Amp\`ere Potentials in Big Cohomology Classes

Quang-Tuan Dang·Lei Zhang·Bin Zhou
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Abstract

In this paper, we establish a stability estimate and a uniform estimate for the modulus of continuity of solutions to the degenerate complex Monge-Amp\`ere equation in big cohomology classes. Consequently, we prove the uniqueness of solutions to complex Monge-Amp\`ere mean field equations for a sufficiently small parameter.

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Quang-Tuan Dang, Lei Zhang, Bin Zhou. 2026-09-01. Uniqueness and Stability of Monge--Amp\`ere Potentials in Big Cohomology Classes. https://arxiv.org/abs/2609.00810

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