On the Hilbert function of Artinian local complete intersections of codimension three

DOI10.1016/j.jpaa.2023.107326OpenAlexW4315644854MaRDI QIDQ2690458

Joachim Jelisiejew, Shreedevi K. Masuti, Maria Evelina Rossi

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2202.04021

zbMATH Keywords

Hilbert functionsGorenstein ringscomplete intersection ringMacaulay's inverse systemsymmetric decomposition

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Power series rings (13J05)

Uses Software

• Macaulay2
• SINGULAR
• Inverse-syst

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducibility of the Gorenstein loci of Hilbert schemes via ray families
• Hilbert function of local Artinian level rings in codimension two
• Description de Hilb sup(n) C{X,Y}
• Hilbert functions of graded algebras
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Canonical Hilbert-Burch matrices for power series
• Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra
• The tangent cone of a local ring of codimension 2
• The leading ideal of a complete intersection of height two. II.
• Classifying local Artinian Gorenstein algebras
• The leading ideal of a complete intersection of height two
• Artinian level algebras of socle degree 4
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Punctual Hilbert schemes
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Géométrie des points épais
• The Local Hilbert Function of a Pair of Plane Curves
• Associated graded algebra of a Gorenstein Artin algebra
• Infective Envelopes and Inverse Polynomials
• SINGULAR

This page was built for publication: On the Hilbert function of Artinian local complete intersections of codimension three