La dimension cohomologique des corps de type Cr en caractéristique p

Translated title of the contribution: The cohomological dimension of Cr fields of characteristic p

Jon Kristinn Arason*, R. Baeza

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In his book on Galois cohomology, J.-P. Serre (1997) [2] has a section about Cr-fields. One of the exercises in that section is to prove that if K is a Cr-field of characteristic 2 then the Kato group H2r + 1 (K) is trivial. Serre then remarks that the same probably holds for Cr-fields of any positive characteristic. The purpose of this note is to confirm this.

Translated title of the contributionThe cohomological dimension of Cr fields of characteristic p
Original languageFrench
Pages (from-to)125-126
Number of pages2
JournalComptes Rendus Mathematique
Volume348
Issue number3-4
DOIs
Publication statusPublished - Feb 2010

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