A compactification of configuration spaces
type: Item
instance of: scholarly article
title: A compactification of configuration spaces
zbMATH Open document ID: 0820.14037
DOI: 10.2307/2946631
author: William Fulton
author: Robert MacPherson
published in: Annals of Mathematics. Second Series
publication date: 1995-09-25T00:00:00Z
review text: The authors introduce and study a natural and very nice compactification \(X[n]\) of the configuration space \(F(X,n)\) of \(n\) distinct labeled points in a nonsingular algebraic variety \(X\). \(X[n]\) is nonsingular and may be obtained from the cartesian product \(X^ n\) by a sequence of blow-ups. The locus of the degenerate configurations, \(X[n] - F(X,n)\), is a divisor with normal crossings whose components are explicitly described. Finally the intersection ring (rational cohomology ring in the complex case) of \(X[n]\) as well as those of the components of \(X[n] - F(X,n)\) and their intersections are computed.
Mathematics Subject Classification ID: 14M99
Mathematics Subject Classification ID: 14N10
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 549326
zbMATH Keywords: compactification
zbMATH Keywords: configuration space
zbMATH Keywords: intersection ring
reviewed by: Eduardo Casas-Alvero
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/2946631
OpenAlex ID: W2021467377
Wikidata QID: Q94816578
description: scientific article; zbMATH DE number 549326