A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers
Commutative Algebra
2017-02-15 v1 Rings and Algebras
Abstract
We construct a ring with the properties of the title of the paper. We also construct some other local rings of embedding dimension 4 with exotic properties. Among the methods used are the {\tt Macaulay2}-package {\tt DGAlgebras} by Frank Moore, combined with and inspired by results by Anick, Avramov, Backelin, Katth\"an, Lemaire, Levin, L\"ofwall and others.
Keywords
Cite
@article{arxiv.1702.04262,
title = {A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers},
author = {Jan-Erik Roos},
journal= {arXiv preprint arXiv:1702.04262},
year = {2017}
}