IUMJ

Title: Deformation of F-injectivity and local cohomology

Authors: Jun Horiuchi, Lance Miller, Kazuma Shimomoto, Karl Schwede and Anurag Singh

Issue: Volume 63 (2014), Issue 4, 1139-1157

Abstract:

We give a sufficient condition for $F$-injectivity to deform in terms of local cohomology. We show this condition is met in two geometrically interesting settings: namely, when the special fiber has isolated non-CM locus or is $F$-split.