Artinian Gorenstein algebras of embedding dimension four and socle degree three

DOI10.1016/j.jalgebra.2023.09.025arXiv2212.05444OpenAlexW4387368759MaRDI QIDQ6087810

Jerzy Weyman, Oana Veliche, Pedro Macias Marques

Publication date: 16 November 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05444

zbMATH Keywords

free resolutionconnected sumMacaulay inverse systemdoublingArtinian Gorenstein algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10
• Classification of the Tor-algebras of codimension four Gorenstein local rings
• A structure theorem for a class of grade three perfect ideals
• Decomposing Gorenstein rings as connected sums
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Homology algebra of the Koszul complex of a local Gorenstein ring
• Connected sums of Gorenstein local rings
• Ideals defined by matrices and a certain complex associated with them
• Structure Theory for a Class of Grade Four Gorenstein Ideals
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four

This page was built for publication: Artinian Gorenstein algebras of embedding dimension four and socle degree three