A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers
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 Macaulay2-package DGAlgebras by Frank Moore, combined with and inspired by results by Anick, Avramov, Backelin, Katth\"an, Lemaire, Levin, L\"ofwall and others.
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