A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers
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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, Katthän, Lemaire, Levin, Löfwall and others.
local ring, Koszul complex, Yoneda Ext-algebra, Hilbert series, Macaulay2, Betti series, Avramov spectral sequence
Algebra and Logic
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-139912OAI: oai:DiVA.org:su-139912DiVA: diva2:1075584