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傅鑫 博士：On the Kahler-Einstein metric near isolated log-canonical singularity

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 傅鑫 博士，罗格斯大学
Inviter:
Title:
 On the Kahler-Einstein metric near isolated log-canonical singularity
Time & Venue:
 2019.12.31 16:30-17:40 N202
Abstract:
 We construct negative Kahler-Einstein metric near an isolated singularity by solving Monge-Ampère equation with Dirichlet boundary, hence largely extends previous work of [21] which constructs Kahler-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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