On the volume of a pseudo-effective class
Time: 2015-09-21
Published By:
Speaker(s): Dr. Zhiwei Wang (School of Mathematical Science, PKU)
Time: 14:00-15:00 September 21, 2015
Venue: 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.
