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pro vyhledávání: '"Tavanfar, Ehsan"'
Autor:
Tavanfar, Ehsan
We show that any complete local (normal) domain admits a module-finite quasi-Gorenstein normal (complete local) domain extension. Notably our result resolves the previously open case of residual characteristic two.
Comment: Comments are very wel
Comment: Comments are very wel
Externí odkaz:
http://arxiv.org/abs/2410.15149
Autor:
Shimomoto, Kazuma, Tavanfar, Ehsan
Publikováno v:
J. Algebra, 634 (2023) 667-697
We show that any quasi-Gorenstein deformation of a $3$-dimensional quasi-Gorenstein Buchsbaum local ring with $I$-invariant $1$ admits a maximal Cohen-Macaulay module, provided it is a quotient of a Gorenstein ring. Such a class of rings includes two
Externí odkaz:
http://arxiv.org/abs/2203.10368
Autor:
Tavanfar, Ehsan
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 Canonical Element Theorem (CET) and explain how a characteristic free deducti
Externí odkaz:
http://arxiv.org/abs/2203.05327
Autor:
Shimomoto, Kazuma, Tavanfar, Ehsan
For any $d\ge 4$, by deformation theory of schemes, we present examples of (complete or excellent) $d$-dimensional mixed characteristic normal local domains admitting no small Cohen-Macaulay algebra, but admitting instances of small (maximal) Cohen-M
Externí odkaz:
http://arxiv.org/abs/2109.12700
Autor:
Shimomoto, Kazuma, Tavanfar, Ehsan
Publikováno v:
In Journal of Algebra 15 November 2023 634:667-697
Autor:
Tavanfar, Ehsan
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 proposed by Celikbas, Dao and Takahashi. To this aim, we first investigat
Externí odkaz:
http://arxiv.org/abs/1911.11290
In the present article, we investigate the following deformation problem. Let $(R,\mathfrak m)$ be a local (graded local) Noetherian ring with a (homogeneous) regular element $y \in \mathfrak m$ and assume that $R/yR$ is quasi-Gorenstein. Then is $R$
Externí odkaz:
http://arxiv.org/abs/1810.03181
Autor:
Tavanfar, Ehsan
In this article, we propose a question on the annihilators of positive Koszul homologies of a system of parameters of an almost complete intersection $R$. The question can be stated in terms of the acyclicity of certain (finite) residual approximatio
Externí odkaz:
http://arxiv.org/abs/1702.01111
Autor:
Tavanfar, Ehsan
In this article, applying the quasi-Gorenstein analogous of the Ulrich's deformation of certain Gorenstein rings we show that some homological conjectures, including the Monomial Conjecture, Big Cohen-Macaulay Algebra Conjecture as well as the Small
Externí odkaz:
http://arxiv.org/abs/1607.00025