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： On the K？hler-Einstein metric near isolated log-canonical singularity
时 间：2019.12.31（星期二）, 16:10-17:40
地 点：数学院南楼N202
摘 要：We construct negative K？hler-Einstein metric near an isolated singularity by solving Monge-Ampère equation with Dirichlet boundary, hence largely extends previous work of [21] which constructs K？hler-Einstein metric on singular variety with log terminal singularity. We continue to consider the geometry of the K？hler-Einstein metric we constructed. Especially, in complex dimension 2, we show that all complete local K？hler-Einstein metrics near isolated singularity are asymptotic the same as the model metric constructed in [31, 32] by Kobayashi and Nakamura.
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