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math.AG2008★ 7 cited
Vari'et'es presque rationnelles, leurs points rationnels et leurs d'eg'en'erescences
J-L. Colliot-Thélène
This survey, which contains very few proofs, addresses the general question: Over a given type of field, is there a natural class of varieties which automatically have a rational p…
math.AG2005
Alg`ebres simples centrales sur les corps de fonctions de deux variables
Jean-Louis Colliot-Th'el`ene
Let F be a function field in two variables over an algebraically closed field of characteristic zero. The main part of this Bourbaki talk describes A. J. de Jong's proof (Duke Math…
math.AG2005
Groupe de Picard et groupe de Brauer des compactifications lisses d'espaces homog`enes
Jean-Louis Colliot-Th'el`ene, Boris `E. Kunyavskii
This is a thoroughly revised version of math.AG/0502516v1 (24 Feb. 2005). Let k be a field of characteristic zero. Let Y=G/H, where G is a connected linear algebraic group over k a…