The construction of some Gorenstein ideals of codimension \(4\)
type: Item
instance of: scholarly article
title: The construction of some Gorenstein ideals of codimension \(4\)
zbMATH Open document ID: 0929.13003
DOI: 10.1016/S0022-4049(96)00179-X
author: Yong Su Shin
published in: Journal of Pure and Applied Algebra
publication date: 2000-01-24T00:00:00Z
review text: Let \(\mathbb{P}^n\) be the \(n\)-dimensional projective space over an infinite field \(k\). The author generalizes the result by \textit{A. V. Geramita, Yong Su Shin} and \textit{M. Pucci} [in: The curves Seminar at Queen's. Vol. X, Lect. Genova and Kingston 1995, Queen's Pap. Pure Appl. Math. 102, 256-297 (1996; Zbl 0877.13019)] and obtains the number and degrees of generators of an ideal of a \(k\)-configuration in \(\mathbb{P}^3\). Then a Gorenstein ideal of codimension \(4\) is constructed.
Mathematics Subject Classification ID: 13C40
Mathematics Subject Classification ID: 14N20
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 13D40
zbMATH DE Number: 1308167
zbMATH Keywords: \(k\)-configuration
zbMATH Keywords: generators of an ideal
zbMATH Keywords: Gorenstein ideal of codimension 4
reviewed by: Marek Golasiński
describes a project that uses: Macaulay2
MaRDI profile type: Publication
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cites work: Some examples of unimodal Gorenstein sequences
cites work: Liaison des variétés algébriques. I
cites work: On Hilbert functions of reduced and of integral algebras
full work available at URL: s0022-4049(96)00179-x
OpenAlex ID: W2008325047
description: scientific article; zbMATH DE number 1308167