Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules

DOI10.1016/j.jalgebra.2023.06.045arXiv2203.10368WikidataQ122981255 ScholiaQ122981255MaRDI QIDQ6052928

Ehsan Tavanfar, Kazuma Shimomoto

Publication date: 25 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10368

zbMATH Keywords

maximal Cohen-Macaulay modulesunique factorization domainFrobenius pushforwardFrobenius direct imagesBuchsbaum ringsquasi-Gorenstein ringssmall Cohen-Macaulay conjectureample \(\mathbb{Q} \)-Weil divisorsgraded rings/modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (3)

On an instance of the small Cohen-Macaulay conjecture ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero

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