Groupes de Chow et K-théorie de variétés sur un corps fini
type: Item
instance of: scholarly article
title: Groupes de Chow et K-théorie de variétés sur un corps fini
zbMATH Open document ID: 0573.14001
DOI: 10.1007/BF01457062
published in: Mathematische Annalen
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/182923
review text: The paper is concerned with relations between the algebraic K-theory and the Chow groups of projective varieties over finite fields. The notion of motif due to Grothendieck and Manin is used.
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 14A20
zbMATH DE Number: 3914462
zbMATH Keywords: algebraic K-theory
zbMATH Keywords: Chow groups
zbMATH Keywords: finite fields
zbMATH Keywords: motif
author: Christophe Soulé
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
cites work: Torsion dans le groupe de Chow de codimension deux
cites work: Q4119314
cites work: Rational equivalence on singular varieties
cites work: Riemann-Roch theorems for higher algebraic K-theory
cites work: Products in K-theory and intersecting algebraic cycles
cites work: Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern
cites work: Q4143433
cites work: Riemann-Roch sans denominateurs
cites work: On Fermat varieties
cites work: \(\lambda\)-structure en K-théorie algébrique
cites work: Sur les séries $L$ d'une variété algébrique
cites work: Q4770462
cites work: Q5628266
cites work: On the cohomology and K-theory of the general linear groups over a finite field
cites work: Higher algebraic K-theory: I
cites work: K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
cites work: Q5615218
cites work: Endomorphisms of Abelian varieties over finite fields
OpenAlex ID: W2911979003
description: scientific article; zbMATH DE number 3914462