Transfers on Chow groups with coefficients
type: Item
instance of: scholarly article
title: Transfers on Chow groups with coefficients
zbMATH Open document ID: 1095.14009
author: Frédéric Déglise
published in: Mathematische Zeitschrift
publication date: 2006-01-23T00:00:00Z
review text: The cycle modules of \textit{M. Rost} [Doc. Math. J. 1, 319--393 (1996; Zbl 0864.14002)] have turned out to be very useful in many contexts. In particular they are very important in the study of presheaves with transfers with homotopy invariant cohomology. The goal of the present article is to provide foundations and new examples for theories with transfer over non-perfect fields. This generalizes the methods of Voevodsky which work only well for perfect fields. In order to do this the author modifies slightly the machinery of Rost and carries out his method in several examples. This article also serves as an introduction to several aspects of algebraic cycles.
reviewed by: Stefan Müller-Stach
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 19E15
Mathematics Subject Classification ID: 14F43
zbMATH DE Number: 5000059
zbMATH Keywords: Chow group
zbMATH Keywords: transfer
zbMATH Keywords: cycle module
zbMATH Keywords: Milnor \(K\)-theory
MaRDI profile type: Publication
full work available at URL: s00209-005-0855-0
OpenAlex ID: W2039448936
cites work: Cycles, Transfers, and Motivic Homology Theories. (AM-143)
cites work: Q4342000
cites work: \(\mathbb{A}^1\)-homotopy theory of schemes
cites work: Chow groups with coefficients
DOI: 10.1007/S00209-005-0855-0
description: scientific article; zbMATH DE number 5000059