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arXiv · 2405.17491

Quantitative stability for the complex Monge-Amp\`ere equations I

Hoang-Son Do·Duc-Viet Vu
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Abstract

We generalize several known stability estimates for complex Monge-Amp\`ere equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other things, a quantitative domination principle, and metric properties of the space of potentials of finite energy. Further applications will be given in subsequent papers.

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Hoang-Son Do, Duc-Viet Vu. 2024-05-25. Quantitative stability for the complex Monge-Amp\`ere equations I. https://arxiv.org/abs/2405.17491

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