Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
type: Item
instance of: scholarly article
title: Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
zbMATH Open document ID: 1251.32021
DOI: 10.1090/S0002-9939-2011-11168-7
author: Ko-Ki Ito
author: Masahiko Yoshinaga
published in: Proceedings of the American Mathematical Society
publication date: 2012-05-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.2039
Mathematics Subject Classification ID: 32S22
Mathematics Subject Classification ID: 14N20
zbMATH DE Number: 6038839
zbMATH Keywords: hyperplane arrangements
zbMATH Keywords: Borel-Moore homology
zbMATH Keywords: de Rham cohomology
MaRDI profile type: Publication
arXiv ID: 1102.2039
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cites work: Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
review text: The authors describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology. They also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology.
reviewed by: Simona Settepanella
description: scientific article; zbMATH DE number 6038839