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- W2807923190 abstract "We establish a criterion for the strong $F$-regularity of a (non-Gorenstein) Cohen-Macaulay reduced complete local ring of dimension at least $2$, containing a perfect field of prime characteristic $p$. We also describe an explicit generating morphism (in the sense of Lyubeznik) for the top local cohomology module with support in certain ideals arising from an $ntimes (n-1)$ matrix $X$ of indeterminates. For $pgeq 5$, these results led us to derive a simple, new proof of the well-known fact that the generic determinantal ring defined by the maximal minors of $X$ is strongly $F$-regular." @default.
- W2807923190 created "2018-06-21" @default.
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- W2807923190 date "2018-06-12" @default.
- W2807923190 modified "2023-09-27" @default.
- W2807923190 title "Strong $F$-regularity and generating morphisms of local cohomology modules" @default.
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