Deformation of F-injectivity and local cohomology Jun HoriuchiLance MillerKarl SchwedeKazuma ShimomotoAnurag Singh 13A3514B0514B07F-injectiveFrobeniuslocal cohomologydeformation 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. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5313 10.1512/iumj.2014.63.5313 en Indiana Univ. Math. J. 63 (2014) 1139 - 1157 state-of-the-art mathematics http://iumj.org/access/