Expected resurgences and symbolic powers of ideals

Authors

Eloísa Grifo, University of Nebraska-LincolnFollow
Craig Huneke, University of VirginiaFollow
Vivek Mukundan, Indian Institute of Technology Delhi,Follow

Date of this Version

2-2020

Citation

arXiv:1903.12122v3 [math.AC] 7 Feb 2020

doi 10.1112/jlms.12324

Comments

Copyright © 2020 Eloísa Grifo, Craig Huneke, & Vivek Mukundan

Abstract

We give explicit criteria that imply the resurgence of a self-radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable version of Harbourne's conjecture holds for such ideals. This criterion is used to give several explicit families of such ideals, including the defining ideals of space monomial curves. Other results generalize known theorems concerning when the third symbolic power is in the square of an ideal, and a strong resurgence bound for some classes of space monomial curves