Hochster's small MCM conjecture for three-dimensional weakly F-split rings
classification
🧮 math.AC
keywords
conjecturef-splitweaklycompletehochsterringssmallthree-dimensional
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We prove Hochster's small MCM conjecture for three-dimensional complete F-pure rings. We deduce this from a more general criterion, and show that only a weakening of the notion of F-purity is needed, to wit, being weakly F-split. We conjecture that any complete ring is weakly F-split.
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