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活动
Some Topics in Several Complex Variables
报告人:Prof. Jingzhou Sun(Shantou University)
题 目:Projective embedding of log Riemann surfaces and K-stability
时 间:9月14日(星期四), 15:30 - 17:30
地 点:数学院南楼N913室
摘 要:Given a smooth polarized Riemann surface endowed with a hyperbolic metric with cusp singularities along a divisor D, we show the projective embedding of defined by is asymptotically almost balanced in a weighted sense. The proof depends on sufficiently precise understanding of the behavior of the Bergman kernel in three regions, with the most crucial one being the neck region around . This is the first step towards understanding the algebro-geometric stability of extremal Kähler metrics with singularities.
This is a joint work with Song Sun.