Gorenstein liaison of curves in \(\mathbb{P}^4\)
type: Item
instance of: scholarly article
title: Gorenstein liaison of curves in \(\mathbb{P}^4\)
zbMATH Open document ID: 0983.14035
published in: Journal of Algebra
publication date: 2002-04-21T00:00:00Z
review text: In studying Gorenstein liaison (a generalization in higher codimension of the well-known theory of ordinary liaison in codimension two) a first natural question is if there exists only one equivalence class containing arithmetically Cohen-Macaulay subschemes. For curves in the projective four-dimensional space, this paper gives a sufficient condition for an arithmetically Cohen-Macaulay subscheme on a ``general'' arithmetically Cohen-Macaulay surface in order to be Gorenstein-linked to a complete intersection (briefly, glicci). This result is performed by studying the Picard group of arithmetically Cohen-Macaulay surfaces, thus finding a numerical condition on the canonical divisor of their hyperplane sections.
reviewed by: Giorgio Bolondi
Mathematics Subject Classification ID: 14M06
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14M05
zbMATH DE Number: 1512983
zbMATH Keywords: glicci
zbMATH Keywords: Picard group
zbMATH Keywords: Gorenstein liaison
zbMATH Keywords: arithmetically Cohen-Macaulay subscheme
zbMATH Keywords: Gorenstein-linked to a complete intersection
author: Marta Casanellas
author: Rosa M. Miró-Roig
MaRDI profile type: Publication
full work available at URL: jabr.2000.8331
OpenAlex ID: W2735025565
cites work: Sulle curve sghembe algebriche di residuale finito
cites work: Q4143433
cites work: Gorenstein liaison, complete intersection liaison invariants and unobstructedness
cites work: Noether-Lefschetz theory and the Picard group of projective surfaces
cites work: Introduction to liaison theory and deficiency modules
DOI: 10.1006/JABR.2000.8331
description: scientific article; zbMATH DE number 1512983