We prove Hochster's small maximal Cohen-Macaulay 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...
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Hochster’s small MCM conjecture for three-dimensional weakly F-split rings: Communications in Algebra: Vol 45, No 1doi:10.1080/00927872.2016.1206342F-pure ringsHochster’s conjecturesmall maximal Cohen–Macaulay modulesweakly F-splitHans Schoutens...