Geometric estimates for complex Monge-Ampere equations

Xin Fu; Bin Guo; Jian Song

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arXiv · 1706.01527

Geometric estimates for complex Monge-Ampere equations

Xin Fu·Bin Guo·Jian Song

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Abstract

We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampere equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge-Ampere equations. We also prove a uniform diameter estimate for collapsing families of twisted Kahler-Einstein metrics on Kahler manifolds of nonnegative Kodaira dimensions.

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Xin Fu, Bin Guo, Jian Song. 2017-06-05. Geometric estimates for complex Monge-Ampere equations. https://arxiv.org/abs/1706.01527

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