Groupes libres et algebses de groupes en geometrie algebrique |
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Authors: | Henri Gaudier |
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Affiliation: | (1) Institut de Recherche Mathématique Avancée, Université Louis Pasteur, 7, rue René Descartes, F-67084 Strasbourg/Cedex |
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Abstract: | Let X=Sp A be an affine scheme over a perfect field k of positive caracteristic. The functor D(k)-mod (W(A), (w(?)) is the unipotent part of the affine commutative free group generated by X (W is the ring of Witt-vectors and D the ring of Dieudonné). If X is a monoïd-scheme, this free group has a structure of ring scheme. In particular, if X=0 k x , we obtain a new proof of the theorem of decomposition of the universal ring. |
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