Addendum to: ``Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups''
type: Item
instance of: scholarly article
title: Addendum to: ``Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups''
zbMATH Open document ID: 1065.14010
author: Lars Ernström
author: Shoji Yokura
published in: Selecta Mathematica. New Series
publication date: 2004-09-27T00:00:00Z
review text: The authors give a supplement to an earlier paper [Sel. Math., New Ser. 8, No. 1, 1--25 (2002; Zbl 0994.14004)]. There, the existence of a unique Grothendieck transformation \(\gamma\) from the bivariant theory \(\mathbb{F}\) of constructible functions to the operational bivariant Chow homology theory \(A^{\text{PI}}\) was proved. The latter differs from the bivariant theory \(A^{\text{PIF}}\) of \textit{W. Fulton} and \textit{R. MacPherson} [Categorical framework for the study of singular spaces, Mem. Am. Math. Soc. 243 (1981; Zbl 0467.55005)]. In this addendum, the authors point out that there exists a maximal bivariant theory \(\widehat{\mathbb{F}}\) of constructible functions such that there is a unique Grothendieck transformation from \(\widehat{\mathbb{F}}\) to \(A^{\text{PIF}}\) which satisfies the same normalization condition as \(\gamma\).
reviewed by: Olaf Teschke
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 32S65
zbMATH DE Number: 2103783
MaRDI profile type: Publication
full work available at URL: s00029-004-0365-7
OpenAlex ID: W1989425199
DOI: 10.1007/S00029-004-0365-7
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description: scientific article; zbMATH DE number 2103783