The structure of quasi-complete intersection ideals
Commutative Algebra
2018-10-01 v1
Abstract
We prove that every quasi-complete intersection ideal is obtained from a pair of nested complete intersection ideals by way of a flat base change. As a by-product we establish a rigidity statement for the minimal two-step Tate complex associated to an ideal in a local ring . Furthermore, we define a minimal two-step complete Tate complex for each ideal in a local ring ; and prove a rigidity result for it. The complex is exact if and only if is a quasi-complete intersection ideal; and in this case, is the minimal complete resolution of by free -modules.
Cite
@article{arxiv.1809.11094,
title = {The structure of quasi-complete intersection ideals},
author = {Andrew R. Kustin and Liana M. Sega},
journal= {arXiv preprint arXiv:1809.11094},
year = {2018}
}