Excision in algebraic obstruction theory
type: Item
instance of: scholarly article
title: Excision in algebraic obstruction theory
zbMATH Open document ID: 1272.13012
author: Satyagopal Mandal
author: Yong Yang
published in: Journal of Pure and Applied Algebra
publication date: 2013-01-30T00:00:00Z
review text: The authors define the relative algebraic obstruction groups (also known as Euler class groups). They establish some excision exact sequences. In particular, for a regular domain \(A\), essentially of finite type over an infinite field \(k\), and a rank one projective \(A\)-module \(L_0\), they prove that \(E^n (A[T]), L_0\otimes A[T]\approx E^n (A, L_0)\) whenever \(2n\geq \dim A + 4\).
reviewed by: Avanish Kumar Chaturvedi
Mathematics Subject Classification ID: 13C10
zbMATH DE Number: 6132784
zbMATH Keywords: obstruction theory
MaRDI profile type: Publication
full work available at URL: j.jpaa.2012.02.008
OpenAlex ID: W2096383010
cites work: Groupe de Chow des cycles orientés et classe d'Euler des fibrés vectoriels
cites work: A question of Nori: Projective generation of ideals
cites work: Q4504511
cites work: Q4427527
cites work: Groupes de Chow-Witt
cites work: Q5288190
cites work: Projective modules and complete intersections
cites work: Euler class and complete intersections
cites work: Intersection theory of algebraic obstructions
cites work: Q3739243
cites work: Q5825483
cites work: Homology sequence and excision theorem for Euler class group
DOI: 10.1016/J.JPAA.2012.02.008
description: scientific article; zbMATH DE number 6132784