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math.AC2022
Remarks on the Small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules
Kazuma Shimomoto, Ehsan Tavanfar
We show that any quasi-Gorenstein deformation of a -dimensional quasi-Gorenstein Buchsbaum local ring with -invariant admits a maximal Cohen-Macaulay module, provided it…
math.AC2022★ 1 cited
Reductions towards a characteristic free proof of the Canonical Element Theorem
Ehsan Tavanfar
We reduce Hochster's Canonical Element Conjecture (theorem since 2016) to a localization problem in a characteristic free way. We prove the validity of a new variant of the Canonic…