On the volume of a pseudo-effective class
发布时间：2015年09月21日
浏览次数：8357
发布者:
主讲人： Dr. Zhiwei Wang (School of Mathematical Science, PKU)
活动时间： 从 2015-09-21 14:00 到 15:00
场地： Room 9 at Quan Zhai, BICMR
Title: On the volume of a pseudo-effective class
Speaker: Dr. Zhiwei Wang (School of Mathematical Science, PKU)
Time: 14:00--15:00, September 21
Venue: Room 9 at Quan Zhai, BICMR
Abstract: Let $(X,\omega)$ be a compact Hermitian manifold. If the Hermitian metric $\omega$ satisfies a further condition, i.e $\partial\bar{\partial}\omega^k=0$ for $k=1,\cdots,n$, we generalize the volume of the cohomology class in the Kahler setting to the Hermitian setting, and prove that the volume is always finite under our assumption, and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom.
Speaker: Dr. Zhiwei Wang (School of Mathematical Science, PKU)
Time: 14:00--15:00, September 21
Venue: Room 9 at Quan Zhai, BICMR
Abstract: Let $(X,\omega)$ be a compact Hermitian manifold. If the Hermitian metric $\omega$ satisfies a further condition, i.e $\partial\bar{\partial}\omega^k=0$ for $k=1,\cdots,n$, we generalize the volume of the cohomology class in the Kahler setting to the Hermitian setting, and prove that the volume is always finite under our assumption, and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom.
