Points rationnels sur les espaces homogenes et leurscompactifications |
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Authors: | M. Florence |
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Affiliation: | (1) Equipe d'Arithmetique et de Geometrie Algebrique, Universite de Paris-Sud XI, Orsay, France |
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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). |
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