Computation of Hilbert-Poincaré series

DOI10.1016/S0022-4049(96)00035-7zbMath0896.13013OpenAlexW2041242728MaRDI QIDQ1361198

Anna Maria Bigatti

Publication date: 9 September 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00035-7

zbMATH Keywords

monomial idealimplementationmulti-graded Hilbert-Poincaré series

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (12)

On Rational Varieties Smooth Except at a Seminormal Singular Point ⋮ Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations ⋮ Unnamed Item ⋮ Reverse search for monomial ideals ⋮ Computing the degree of a lattice ideal of dimension one ⋮ The Frobenius number and \(a\)-invariant ⋮ A new family of metrics for biopolymer contact structures ⋮ On the number of distinct multinomial coefficients ⋮ Computing the support of monomial iterated mapping cones ⋮ Multigraded Hilbert series of noncommutative modules ⋮ The slice algorithm for irreducible decomposition of monomial ideals ⋮ On the Hilbert quasi-polynomials for non-standard graded rings

Uses Software

• CoCoA

Cites Work

• On the computation of Hilbert-Poincaré series
• Computation of Hilbert functions
• Hilbert functions of graded algebras
• COMPUTATION OF DIMENSION POLYNOMIALS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Computation of Hilbert-Poincaré series