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arXiv · 2106.03913

Stability estimates for the complex Monge-Amp\`ere and Hessian equations

Bin Guo·Duong H. Phong·Freid Tong
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Abstract

A new proof for stability estimates for the complex Monge-Amp\`ere and Hessian equations is given, which does not require pluripotential theory. A major advantage is that the resulting stability estimates are then uniform under general degenerations of the background metric in the case of the Monge-Amp\`ere equation, and under degenerations to a big class in the case of Hessian equations.

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Bin Guo, Duong H. Phong, Freid Tong. 2021-06-07. Stability estimates for the complex Monge-Amp\`ere and Hessian equations. https://arxiv.org/abs/2106.03913

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