A self-dual complete resolution
Commutative Algebra
2022-06-08 v2
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.
Cite
@article{arxiv.2107.10152,
title = {A self-dual complete resolution},
author = {Rachel N. Diethorn},
journal= {arXiv preprint arXiv:2107.10152},
year = {2022}
}
Comments
13 pages, final version (to appear in J. Algebra Appl.)