Some quadratic inequalities on product varieties
发布时间:2020年11月06日
浏览次数:5944
发布者: Kangkang Deng
主讲人: 刘昱成
活动时间: 从 2020-11-06 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全29教室
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.