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…