Castelnuovo-Mumford regularity of subspace arrangements
Organizers
Speaker
Manolis Tsakiris
Time
Thursday, April 25, 2024 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
After reviewing the notion of Castelnuovo-Mumford regularity of a finitely generated graded module over a polynomial ring with coefficients in a field, some history and known results will be discussed regarding the regularity of ideals associated to subspace arrangements and the connections with their Hilbert functions. In the sequel, recent results obtained together with Aldo Conca will be presented, which improve the bound of Derksen & Sidman (2002) for arrangements in projective space of generic linear spaces of codimension at least 2.