2 citations · 3 across the 5 of their papers we have counts for
9 papers
Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic
Ehsan Tavanfar
We show that any complete local (normal) domain admits a module-finite quasi-Gorenstein normal (complete local) domain extension. In the geometric vein, we show that any normal pro…
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…
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…
On local rings without small Cohen-Macaulay algebras in mixed characteristic
Kazuma Shimomoto, Ehsan Tavanfar
For any , by deformation theory of schemes, we present examples of (complete or excellent) -dimensional mixed characteristic normal local domains admitting no small Cohe…
Test modules, weakly regular homomorphisms and complete intersection dimension
Ehsan Tavanfar
We prove that if a local ring admits a (pd-)test module of finite complete intersection dimension, then it is a complete intersection ring. This answers, positively, a question pro…
A Study of quasi-Gorenstein rings II: Deformation of quasi-Gorenstein property
Kazuma Shimomoto, Naoki Taniguchi, Ehsan Tavanfar
In the present article, we investigate the following deformation problem. Let be a local (graded local) Noetherian ring with a (homogeneous) regular element $y \i…