paper

Deformation of -injectivity and local cohomology

arXiv:1210.3589

Abstract

We give sufficient conditions for F-injectivity to deform. We show these conditions are met in two common geometrically interesting setting, namely when the special fiber has isolated CM-locus or is F-split.

arXiv comment15 pages, Appendix by Karl Schwede and Anurag K. Singh