Intersection of algebraic cycles
type: Item
instance of: scholarly article
title: Intersection of algebraic cycles
zbMATH Open document ID: 0899.14005
DOI: 10.1007/BF02362566
published in: Journal of Mathematical Sciences (New York)
publication date: 1997-11-06T00:00:00Z
review text: In this expository paper, the author explains with illustrating examples why intersection homology is needed to recover some properties of intersection of cycles and of Poincaré duality both of which fail when one uses the classical homology theory for singular pseudomanifolds. Thereafter he describes the recent results, obtained by the author, together with G. Barthel, K.-H. Fieseler, O. Gabber, and L. Kaup, which are concerned with the existence of associated morphisms in intersection homology and the lifting of algebraic cycles from homology to intersection homology.
Mathematics Subject Classification ID: 14F43
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 1017577
zbMATH Keywords: intersection homology
zbMATH Keywords: intersection of cycles
zbMATH Keywords: Poincaré duality
zbMATH Keywords: singular pseudomanifolds
author: Jean-Paul Brasselet
reviewed by: Fumio Hazama
MaRDI profile type: Publication
cites work: Lifting of algebraic cycles and associated homomorphisms in intersection homology.
cites work: Intersection homology theory
cites work: Chern classes for singular algebraic varieties
cites work: Q5514290
full work available at URL: https://doi.org/10.1007/bf02362566
OpenAlex ID: W2078850170
description: scientific article; zbMATH DE number 1017577