Equivariant isomorphisms of Ext and Tor modules
Abstract
In this article we establish equivariant isomorphisms of Ext and Tor modules over different relative complete intersections. More precisely, for a commutative ring $Q$, this paper investigates how $Ext_{Q/(\boldsymbol{f})}^*(M,N)$ and $Tor^{Q/(\boldsymbol{f})}_*(M,N)$ change when one varies $\boldsymbol{f}$ among all Koszulregular sequences of a fixed length such that $\boldsymbol{f} M=0$ and $\boldsymbol{f} N=0$. Of notable interest is how the theory of perturbations is used to establish isomorphisms of certain DG modules.
 Publication:

arXiv eprints
 Pub Date:
 June 2019
 DOI:
 10.48550/arXiv.1906.06228
 arXiv:
 arXiv:1906.06228
 Bibcode:
 2019arXiv190606228P
 Keywords:

 Mathematics  Commutative Algebra;
 13D07 (primary);
 13D05;
 16E45;
 13D02;
 13D40 (secondary)
 EPrint:
 13 pages. Comments welcome!