Details:
Title  The Grobner Fan of an AnModule  Author(s)  Abdallah Assi, Francisco Jesus CastroJimenez, Michel Granger  Type  Article in Journal  Abstract  Let I be a nonzero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined by L(α,β)=∑i=1neiαi+∑i=1nfiβi. If ei+fi>=0, then L defines a filtration F•L on An. Let grL(I) be the graded ideal associated with the filtration induced by F•L on I. Let finally U denote the set of all linear form L for which ei+fi>=0 for all 1<=i<=n. The aim of this paper is to study, by using the theory of Gröbner bases, the stability of grL(I) when L varies in U. In a previous paper, we obtained finiteness results for some particular linear forms (used in order to study the regularity of a Imagemodule along a smooth hypersurface). Here we generalize these results by adapting the theory of Gröbner fan of MoraRobbiano to the Imagemodule case. Our main tool is the homogenization technique initiated in our previous paper, and recently clarified in a work by F. CastroJiménez and L. NarváezMacarro.  Length  13 
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 URL 
dx.doi.org/10.1016/S00224049(99)000341 
Language  English  Journal  Journal of Pure and Applied Algebra  Volume  150  Number  1  Pages  2739  Year  2000  Month  June  Translation 
No  Refereed 
No 
