Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T08:37:03.225Z Has data issue: false hasContentIssue false
  • English
  • Français

Groupe de Chow de dimension zéro des fibrations en variétés de Severi–Brauer

Published online by Cambridge University Press:  04 December 2007

EMMANUELLE FROSSARD
EMMANUELLE FROSSARD
Affiliation:
Université de Paris-Sud, Département des mathématiques, Bˆ. 425, 91405 Orsay Cedex, France, e-mail: frossard@matups.fr
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study here the O-dimension Chow group of some particular smooth varieties which are fibrations over curves (i.e. are equipped with a proper, surjective morphism over a smooth curve). We obtain finiteness results for fibrations, whose generic fibres are Severi-Brauer varieties of squarefree index, when the group field is a number field (or in some particular cases a finitely generated field over Q).

Keywords

Chow groupsalgebraic cyclesarthmetic finiteness theoremGalois cohomology
Type
Research Article
Information
Compositio Mathematica , Volume 110 , Issue 2 , January 1998 , pp. 187 - 213
Copyright
© 1998 Kluwer Academic Publishers