Finite homological dimension of Hom and vanishing of Ext
For finitely generated modules $ M $ and $ N $ over a commutative Noetherian local ring $
R $, we give various sufficient criteria for detecting freeness of $ M $ or $ N $ via vanishing …
R $, we give various sufficient criteria for detecting freeness of $ M $ or $ N $ via vanishing …
A note on cohomological vanishing theorems
M Asgharzadeh - arXiv preprint arXiv:2401.14133, 2024 - arxiv.org
We study $ cd (M, N):=\sup\{j: H^ j_ {m}(M, N)\neq0\} $, and we prove the following over $ AB
$-rings: $ cd (M, N)<\infty $ iff $ cd (M, N)\leq2 dim R $. For locally free over the punctured …
$-rings: $ cd (M, N)<\infty $ iff $ cd (M, N)\leq2 dim R $. For locally free over the punctured …