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Points rationnels sur les espaces homogenes et leurs compactifications
Authors:M Florence
Institution:(1) Equipe d'Arithmetique et de Geometrie Algebrique, Universite de Paris-Sud XI, Orsay, France
Abstract:Let k be a perfect field and G an algebraic group defined over k. Let X be a homogeneous space of G. We show the following: if there exists a k-variety which is birational to X and which has a smooth k-rational point, then X also has a k-rational point (Theorem 5.7).
Keywords:
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