A self-dual complete resolution
arXiv:2107.10152
Abstract
We construct a self-dual complete resolution of a module defined by a pair of embedded complete intersection ideals in a local ring. Our construction is based on a gluing construction of Herzog and Martsinkovsky and exploits the structure of Koszul homology in the embedded complete intersection case. As a consequence of our construction, we produce an isomorphism between certain stable homology and cohomology modules.
arXiv comment13 pages, final version (to appear in J. Algebra Appl.)