Miyaoka-Yau inequality for hyperplane arrangements
Organizers
Speaker
Martin de Borbon
Time
Thursday, October 23, 2025 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
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.