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      Lexsegment and Gotzmann ideals associated with the diagonal action of Z/p

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      Author(s)
      Sezer, M.
      Date
      2011
      Source Title
      Monatshefte für Mathematik
      Print ISSN
      0026-9255
      Electronic ISSN
      1436-5081
      Publisher
      Springer Wien
      Volume
      163
      Issue
      2
      Pages
      197 - 209
      Language
      English
      Type
      Article
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      Abstract
      We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We give a description of the actions for which the corresponding Hilbert ideal is Gotzmann when n = 2. Nevertheless, we show that there is a separating set of invariant monomials that generates a proper lexsegment ideal in the polynomial ring for all n. As well, we provide an algorithm to compute this set. © 2009 Springer-Verlag.
      Keywords
      Gotzmann ideals
      Lexsegment ideals
      Separating invariants
      Permalink
      http://hdl.handle.net/11693/12070
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s00605-009-0182-3
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      • Department of Mathematics 653
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