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,Qℓ/Zℓ(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 contribution | Degree three unramified cohomology of Severi-Brauer varieties |
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Original language | French |
Pages (from-to) | 369-373 |
Number of pages | 5 |
Journal | Comptes Rendus Mathematique |
Volume | 349 |
Issue number | 7-8 |
DOIs | |
State | Published - Apr 2011 |
ASJC Scopus subject areas
- General Mathematics