Back to Commutative Algebra Seminar: Fall 2018
Commutative Algebra Seminar
Date: Friday, Nov 30, 2018
Time: 2:30PM - 3:20PM
Location: LCB 215
Robert M. Walker
University of Michigan
Title |
On ideals defining products of affine schemes |
Abstract |
This is joint work with Irena Swanson found on arXiv:1806.03545. Given a polynomial ring C over a field and proper ideals I and J whose generating sets involve disjoint variables, we determine how to embed the associated primes of each power of I+J into a collection of primes described in terms of the associated primes of select powers of I and of J. We discuss applications to constructing primary decompositions for powers of I+J, and to attacking the persistence problem for associated primes of powers of an ideal. |
Commutative Algebra