Cohomologie non ramifiée en degré trois d'une variété de Severi-Brauer

Translated title of the contribution: Degree three unramified cohomology of Severi-Brauer varieties

Research output: Contribution to journalArticlepeer-review

Abstract

Let S be a smooth projective geometrically integral surface defined over a finite field F, char.F≠2, and let K be its field of fractions. Parimala and Suresh (2010) [9] proved that for C a conic over K, the group Hnr3(K(C)/F,Q/Z(2)) is zero for ℓ≠char.F. In this Note we extend their result to the case of Severi-Brauer varieties of prime index.

Translated title of the contributionDegree three unramified cohomology of Severi-Brauer varieties
Original languageFrench
Pages (from-to)369-373
Number of pages5
JournalComptes Rendus Mathematique
Volume349
Issue number7-8
DOIs
StatePublished - Apr 2011

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Degree three unramified cohomology of Severi-Brauer varieties'. Together they form a unique fingerprint.

Cite this