Title
On the Computation of Hilbert-Poincaré Series
Abstract
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomial ideal ink[X1,?, Xn], via the computation of the Poincaré series of some monomial ideals ink[X1,?, Xi,?, Xn]. The complexity of our algorithm is optimal for Borel-normed ideals and an implementation in CoCoA strongly confirms its efficiency. An easy extension computes the Poincaré series of graded modules over standard algebras.
Year
DOI
Venue
1991
10.1007/BF01810852
Appl. Algebra Eng. Commun. Comput.
Keywords
Field
DocType
poincar6 series,borel-normed ideals,hilbert functions,hilbert function
Poincaré series,Discrete mathematics,Monomial ideal,Monomial,Hilbert–Poincaré series,Mathematics,Computation
Journal
Volume
Issue
Citations 
2
1
7
PageRank 
References 
Authors
1.33
7
3
Name
Order
Citations
PageRank
Anna Maria Bigatti14414.97
Massimo Caboara26610.74
lorenzo robbiano328868.53