Actions des groupes algébriques sur les variétés affines et normalité d'adhérences d'orbites

Abstract : This thesis is devoted to the actions of groups of algebraic transformations on affine algebraic varieties. In the first part we study normality of closures of maximal torus orbits in the rational modules of simple algebraic groups. The second part deals with actions of automorphism groups on affine varieties. We study here transitivity and multiple transitivity of such an action on the set of smooth points.
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Karine Kuyumzhiyan. Actions des groupes algébriques sur les variétés affines et normalité d'adhérences d'orbites. Mathématiques générales [math.GM]. Université Grenoble Alpes, 2011. Français. ⟨NNT : 2011GRENM015⟩. ⟨tel-00685202⟩

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