Miyaoka-Yau inequality for hyperplane arrangements
演讲者
Martin de Borbon
时间
2025年10月23日 15:00 至 16:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
This talk is based on my joint paper with Dima Panov, where we introduce a quadratic form naturally associated to a hyperplane arrangement in projective space. For line arangements this quadratic form was first defined by Hirzebruch. The main result of the talk is that this quadratic form is less or equal than 0 on a convex cone of weights that make the weighted arrangement stable. Arrangements for which the quadratic form has non-trivial kernel are very special, such as complex reflection arrangements.