研讨班报告

多复变与复几何学术讨论班:Geometric estimate of Monge-Ampère equation

发布时间:2019-12-24

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)

  Geometric estimate of Monge-Ampère equation

  2019.12.31(星期, 14:30-16:00

  数学院南楼N202

  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 Khler-Einstein metrics on Khler manifolds of nonnegative Kodaira dimensions.


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