Some quadratic inequalities on product varieties
Time: 2020-11-06
Published By: Kangkang Deng
Speaker(s): Liu Yucheng
Time: 14:00-15:00 November 6, 2020
Venue: Room 29, Quan Zhai, BICMR
Abstract: We prove some positivity results on the coefficients in the complexified Hilbert polynomial of a semi-stable object. After applying these results on the classical slope stability conditions, we get sequences of quadratic inequalities for semi-stable objects on product varieties. The leading quadratic inequality can be viewed as a weak version of Bogomolov's inequality holding in arbitrary characteristics.
