中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
多复变与复几何学术讨论班
Some Topics in Several Complex Variables
报告人:傅鑫 博士(罗格斯大学)
题 目: Geometric estimate of Monge-Ampère equation
时 间:2019.12.31(星期二), 14:30-16:00
地 点:数学院南楼N202
摘 要:We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampère equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge-Ampère equations. We also prove a uniform diameter estimate for collapsing families of twisted K?hler-Einstein metrics on K?hler manifolds of nonnegative Kodaira dimensions.
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