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A commutative noetherian local ring of embedding dimension 4 having a transcendental series of Betti numbers
Stockholm University, Faculty of Science, Department of Mathematics. (Matematik)
(English)Manuscript (preprint) (Other academic)
Abstract [en]

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.

Keyword [en]
local ring, Koszul complex, Yoneda Ext-algebra, Hilbert series, Macaulay2, Betti series, Avramov spectral sequence
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-139912OAI: oai:DiVA.org:su-139912DiVA: diva2:1075584
Available from: 2017-02-20 Created: 2017-02-20 Last updated: 2017-02-20

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arxiv.org/abs/1702.04262

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Roos, Jan-Erik
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Department of Mathematics
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
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Output format
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