Commutative algebra seminar

Date: Tuesday, 13 September 2022

Time: 3.30-5.00 pm

Venue: Ramanujan Hall

Speaker: J. K. Verma

Title: Noetherian symbolic Rees algebras-III

Abstract: We shall give examples of ideals whose symbolic Rees algebra is Noetherian. These  are the

(1) ideals of space curves of multiplicity 3,

(2) ideals of a finite set of points in projective space,

(3) height one prime ideals in two-dimensional normal local domains.

We shall also discuss necessary and sufficient conditions for the symbolic Rees algebra of a prime ideal to be Noetherian in terms of set-theoretic complete intersections.