On the computation of hilbert—Poincaré series
- Cite this article as:
- Bigatti, A.M., Caboara, M. & Robbiano, L. AAECC (1991) 2: 21. doi:10.1007/BF01810852
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.