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- W3087586558 abstract "We prove that deformation of F-injectivity holds for local rings $(R,mathfrak{m})$ that admit secondary representations of $H^i_{mathfrak{m}}(R)$ which are stable under the natural Frobenius action. As a consequence, F-injectivity deforms when $(R,mathfrak{m})$ is sequentially Cohen-Macaulay (or more generally when all the local cohomology modules $H^i_{mathfrak{m}}(R)$ have no embedded attached primes). We obtain some additional cases if $R/mathfrak{m}$ is perfect or if $R$ is $mathbb{N}$-graded." @default.
- W3087586558 created "2020-09-25" @default.
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- W3087586558 date "2020-09-18" @default.
- W3087586558 modified "2023-09-26" @default.
- W3087586558 title "F-stable secondary representations and deformation of F-injectivity" @default.
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- W3087586558 doi "https://doi.org/10.48550/arxiv.2009.09038" @default.
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