We prove that deformation of F-injectivity holds for local rings (R, m) that admit secondary representations of Hmi(R) which are stable under the natural Frobenius action. As a consequence, F-injectivity deforms when (R, m) is sequentially Cohen–Macaulay (or more generally when all the local cohomology modules Hmi(R) have no embedded attached primes). We obtain some additional cases if R/ m is perfect or if R is ℕ-graded.

F-Stable Secondary Representations and Deformation of F-Injectivity

De Stefani A.;
2021

Abstract

We prove that deformation of F-injectivity holds for local rings (R, m) that admit secondary representations of Hmi(R) which are stable under the natural Frobenius action. As a consequence, F-injectivity deforms when (R, m) is sequentially Cohen–Macaulay (or more generally when all the local cohomology modules Hmi(R) have no embedded attached primes). We obtain some additional cases if R/ m is perfect or if R is ℕ-graded.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1064359
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