Lexsegment and Gotzmann ideals associated with the diagonal action of Z/p
Author(s)
Date
2011Source 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
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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.