Local rings of embedding codepth 3: a classification algorithm
Commutative Algebra
2016-01-20 v2
Abstract
Let I be an ideal of a regular local ring Q with residue field k. The length of the minimal free resolution of R=Q/I is called the codepth of R. If it is at most 3, then the resolution carries a structure of a differential graded algebra, and the induced algebra structure on $Tor_Q(R,k) provides for a classification of such local rings. We describe the Macaulay2 package CodepthThree that implements an algorithm for classifying a local ring as above by computation of a few cohomological invariants.
Cite
@article{arxiv.1402.4052,
title = {Local rings of embedding codepth 3: a classification algorithm},
author = {Lars Winther Christensen and Oana Veliche},
journal= {arXiv preprint arXiv:1402.4052},
year = {2016}
}
Comments
Minor changes. Final version; to appear in J. Softw. Algebra Geom.; 7 pp. The Macaulay2 package CodepthThree is available from one author's homepage http://www.math.ttu.edu/~lchriste/publications.html