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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Jingzhou Sun, Shantou University

Inviter:  
Title:
Projective embedding of log Riemann surfaces and K-stability
Time & Venue:
2017.9.14 15:30-17:30 N913
Abstract:

Given a smooth polarized Riemann surface (X; L) endowed with a
hyperbolic metric with cusp singularities along a divisor D, we show the L2 projective embedding of (X;D) defined by Lk 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 D. This is the first step towards understanding the algebro-geometric stability of extremal K?hler metrics with singularities.
This is a joint work with Song Sun.

 

 

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