Buchsbaum-Eisenbud complexes of OI-modules
Commutative Algebra
2022-06-28 v1
Abstract
We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical complexes. In particular, the OI-complexes are generically acyclic and often provide width-wise minimal free resolutions.
Keywords
Cite
@article{arxiv.2206.12960,
title = {Buchsbaum-Eisenbud complexes of OI-modules},
author = {Nathan Fieldsteel and Uwe Nagel},
journal= {arXiv preprint arXiv:2206.12960},
year = {2022}
}
Comments
16 pages