Quantitative stability for the complex Monge-Ampere equations
Complex Variables
2022-12-01 v2
Abstract
We prove several quantitative stability estimates for solutions of complex Monge-Ampere equations when both the cohomology class and the prescribed singularity vary. In a broad sense, our results fit well into the study of degeneration of families of Kaehler-Einstein metrics. The key mechanism in our method is the pluripotential theory in the space of potentials of finite lower energy.
Cite
@article{arxiv.2209.00248,
title = {Quantitative stability for the complex Monge-Ampere equations},
author = {Hoang-Son Do and Duc-Viet Vu},
journal= {arXiv preprint arXiv:2209.00248},
year = {2022}
}
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71 pages