On the logarithmic Chow semistability of polarized toric manifolds


报告题目: On the logarithmic Chow semistability of polarized toric manifolds
报 告 人: Dr. Satoshi Nakamura
报告人所在单位: Mathematical Institute, Tohoku University
报告日期: 2016-12-09 星期五
报告时间: 15:10-16:10
报告地点: 光华东主楼1801

报告摘要:
The logarithmic Chow (semi)stability is defined for the pair consists of polarized complex manifolds and its divisors. In this talk, I will introduce a obstruction of semistability of polarized toric manifolds and its toric divisors. As its application, I will also introduce the followings.

(1) A relation between the log Chow semistability and the log K-semistability which is expected to be equivalent to the existence of canonical Kahler metrics on polarized complex manifolds.

(2) Calculation of this obstruction for a few example and relation to the existence of conical Kahler Einstein metrics.