Minimal free resolutions of differential modules
Commutative Algebra
2022-06-07 v3
Abstract
We propose a notion of minimal free resolutions for differential modules, and we prove existence and uniqueness results for such resolutions. We also take the first steps toward studying the structure of minimal free resolutions of differential modules. Our main result in this direction explains a sense in which the minimal free resolution of a differential module is a deformation of the minimal free resolution of its homology; this leads to structural results that mirror classical theorems about minimal free resolutions of modules.
Keywords
Cite
@article{arxiv.2103.08471,
title = {Minimal free resolutions of differential modules},
author = {Michael K. Brown and Daniel Erman},
journal= {arXiv preprint arXiv:2103.08471},
year = {2022}
}
Comments
19 pages. To appear in Transactions of the AMS