Commutative Algebra Seminar
Date and time: Thursday 19 January, 2023, 4 pm
Venue: Ramanujan Hall
Host: Tony Puthenpurakal
Speaker: Tony Puthenpurakal
Affiliation: Mathematics Department, IIT Bombay
Title: An analogue of Rees Theorem for filtrations
Abstract: Let A be an analytically unramified Cohen-Macaulay local ring. Let {I_n} be a filtration of m-primary ideals. Let I be an m-primary ideal contained in I_1. It is easily seen that the multiplicity of {I_n} is at least multiplicity of I. We show that if equality holds then the Rees algebra of the filtration is a finite module over Rees algebra of I.