Back to Commutative Algebra Seminar: Fall 2019
Commutative Algebra Seminar
Date: Friday, Nov 8, 2019
Time: 2:30PM - 3:20PM
Location: LCB 225
Linquan Ma
Purdue University
Title |
Fedder's criterion and symbolic power containment for singular rings |
Abstract |
We extend Fedder’s criterion for F-purity to singular ambient rings. As applications, we discuss several generalizations of Grifo-Huneke’s result on symbolic power containments (Harbourne’s conjecture) in regular rings to singular rings, either when the ideal has finite projective dimension or when we multiply by a power of the Jacobian ideal. We also give some examples showing the sharpness of these results. This is joint work with Eloisa Grifo and Karl Schwede. |
Commutative Algebra