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Hilbert series of finitely presented algebras

  • David Anick
  • Clas Löfwall
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1183)

Abstract

Let l denote the collection of all Hilbert series of finitely presented connected graded algebras over a field k. What can we say about the set l? This paper addresses itself to that question. In 1974 Govorov [Go-2] conjectured that only rational power series belonged to l. This conjecture was first disproved by Shearer [Sh], using methods which we will generalize and extend in this paper. We will also show that the set l is countable and derive some of its properties.

Keywords

Local Ring Algebra Structure Hilbert Series Homogeneous Element Grade Vector Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • David Anick
    • 1
  • Clas Löfwall
    • 2
  1. 1.Department of MathematicsMass. Institute of TechnologyCambridgeUSA
  2. 2.Department of MathematicsUniversity of StockholmStockholmSweden

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