Deformations of arithmetically Cohen-Macaulay subvarieties of \({\mathbb{P}}^ n\)
type: Item
instance of: scholarly article
title: Deformations of arithmetically Cohen-Macaulay subvarieties of \({\mathbb{P}}^ n\)
zbMATH Open document ID: 0707.14043
DOI: 10.1007/BF01160119
author: Giorgio Bolondi
author: Rosa M. Miró-Roig
published in: Manuscripta Mathematica
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155405
review text: In this short note the authors show that every arithmetically Cohen- Macaulay 2-codimensional subscheme of \({\mathbb{P}}^ N\) can be deformed to a (reduced) union of 2-codimensional linear subvarieties. This extends an old result of E. Gaeta \((N=3)\) to the higher dimensional case. The authors make use of linkage techniques.
reviewed by: Siegmund Kosarew
Mathematics Subject Classification ID: 14M06
Mathematics Subject Classification ID: 14M05
Mathematics Subject Classification ID: 14D15
Mathematics Subject Classification ID: 14M07
zbMATH DE Number: 4160944
zbMATH Keywords: codimension 2 subvarieties
zbMATH Keywords: deformation of arithmetically Cohen-Macaulay varieties
zbMATH Keywords: linkage
describes a project that uses: Macaulay2
MaRDI profile type: Publication
cites work: Q3487545
cites work: The Structure of an Even Liaison Class
cites work: Q3031096
cites work: Q3832689
cites work: Nuove ricerche sulle curve sghembe algebriche di residuale finito e sui gruppi di punti del piano
OpenAlex ID: W2000649589
description: scientific article; zbMATH DE number 4160944