In this paper, we give some complementary constructions for Chow
groups with coefficients in a cycle module defined by M.Rost. That
is, we define a pullback for a local complete intersection morphism
and a refined Gysin homorphism for a pullback of a regular closed
immersion. We prove associativity for the pullback and a general
projection formula. We obtain from this extension the existence of
transfers on Chow groups with coefficients, thus proving that the
unramified part defines a homotopy invariant sheaf with transfers in
the sense of V. Voevodsky. This is the first step in a general
comparison between the theory of cycle modules and the theory of
homotopy invariant sheaves with transfers already obtained in the
thesis of the author (cf.
This preprint has been accepted for publication, and will appear in
the following form.
Title: Transferts sur les groupes de Chow à coefficients
Journal: Mathematische Zeitschrift
Publisher: Springer-Verlag GmbH
ISSN: 0025-5874 (Paper) 1432-1823 (Online)
Issue: Volume 252, Number 2
Date: February 2006
Pages: 315 - 343
This preprint has been accepted for publication, and will appear in the following form.