Deformation of $F$-injectivity and local cohomology

Jun Horiuchi; Kazuma Shimomoto; Lance Edward Miller

arxiv: 1210.3589 · v3 · pith:JU3EKMDYnew · submitted 2012-10-12 · 🧮 math.AC · math.AG

Deformation of F-injectivity and local cohomology

Jun Horiuchi , Lance Edward Miller , Kazuma Shimomoto This is my paper

classification 🧮 math.AC math.AG

keywords conditionscm-locuscohomologycommondeformdeformationf-injectivityf-split

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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.

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Deformation of F-injectivity and local cohomology

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