Deformation and stability of F-singularities

Abstract: Given a property (P), the deformation problem asks whether, whenever x is a regular element of a ring R such that R/xR satisfies (P), then so does R. We will survey some known facts on the deformation problem for F-singularities in prime characteristic, and present some recent results on deformation of F-injectivity, obtained in joint work with Linquan Ma. In the second part of the talk, we will discuss another problem, called stability. We will present some results obtained in collaboration with Ilya Smirnov, and outline a general relation between the two problems of deformation and stability.

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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