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Geometric estimate for complex ampere equation.

2021-01-12

Speaker: FU Xin, PhD candidate, University of California, Irvine

Time: 2021121日,1000am-1100am

Tecent online meeting number: 127 290 108

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 K¨ahler-Einstein metrics on K¨ahler manifolds of nonnegative Kodaira dimensions. Joint with Bin Guo and Jian Song.