Sous-groupes algébriques du groupe de Cremona

Mathematics – Algebraic Geometry

Scientific paper

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Text in French, Translated introduction, 35 pages, 1 figure, to appear in Transform. Groups

Scientific paper

10.1007/s00031-008-9046-5

We give a complete classification of maximal algebraic subgroups of the Cremona group of the plane and provide algebraic varieties that parametrize the conjugacy classes. ----- Nous donnons une classification compl\`ete des sous-groupes alg\'ebriques maximaux du groupe de Cremona du plan et explicitons les vari\'et\'es qui param\`etrent les classes de conjugaison.

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