Back to Commutative Algebra Seminar: Fall 2016
Commutative Algebra Seminar
Date: Friday, Oct 7, 2016
Time: 3:10PM - 4:00PM
Location: LCB 215
Jugal K. Verma
IIT Bombay, India
Title |
Ideals of joint reduction number zero |
Abstract |
We will present some old and new results on ideals of joint reduction number zero in a Noetherian ring. Complete ideals in two dimensional rational singularities and zero dimensional monomial ideals in polynomial rings are examples of such ideals. A local cohomological characterization of such ideals will be presented. We show how one can compute the Hilbert polynomial of such ideals and how they produce Cohen-Macaulay Rees algebras. We also point out their connection with an unsolved conjecture of Itoh about the normal reduction number of an m-primary ideal in a three dimensional Gorenstein local ring. |
Commutative Algebra