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arXiv · 1702.04262

A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers

Jan-Erik Roos
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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, Katthän, Lemaire, Levin, Löfwall and others.

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Jan-Erik Roos. 2017-02-14. A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers. https://arxiv.org/abs/1702.04262

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