Back to Commutative Algebra Seminar: Fall 2016
Commutative Algebra Seminar
Date: Friday, Nov 4, 2016
Time: 3:10PM - 4:00PM
Location: LCB 215
Winfried Bruns
Universität Osnabrück
Title |
Castelnuovo-Mumford regularity of power products |
Abstract |
We show that the Castelnuovo-Mumford regularity and related invariants of products of powers of ideals in a standard graded polynomial ring are affine-linear in the exponents if these are large enough, provided that each ideal is generated by elements of constant degree. A counterexample shows that linearity is false without the condition, but the regularity is always given by the maximum of finitely many affine-linear polynomials. This is joint work with Aldo Conca (Genoa). |
Commutative Algebra