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arXiv · 1411.7078

A sufficient condition for strong $F$-regularity

Alessandro De Stefani·Luis Núñez-Betancourt
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Abstract

Let $(R,\mathfrak{m},K)$ be an $F$-finite Noetherian local ring which has a canonical ideal $I \subsetneq R$. We prove that if $R$ is $S_2$ and $H^{d-1}_{\mathfrak{m}}(R/I)$ is a simple $R\{F\}$-module, then $R$ is a strongly $F$-regular ring. In particular, under these assumptions, $R$ is a Cohen-Macaulay normal domain.

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Alessandro De Stefani, Luis Núñez-Betancourt. 2014-11-26. A sufficient condition for strong $F$-regularity. https://arxiv.org/abs/1411.7078

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