Castelnuovo-Mumford regularity of subspace arrangements - Part 1

Abstract: In the first talk of this seminar, 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. The subject of second talk will be recent results obtained together with Aldo Conca, which improve the bound of Derksen & Sidman (2002) for arrangements of generic linear spaces in projective space of codimension at least 2.

Mathematics

Audience: researchers in the topic

Greek Algebra & Number Theory Seminar