Add to ORKGWe survey recent results on multiple transitivity of automorphism groups of affine algebraic varieties. We consider the property of infinite transitivity of the special automorphism group, which is equivalent to flexibility of the corresponding affine variety. These properties have important algebraic and geometric consequences. At the same time they are fulfilled for wide classes of varieties. Also we study situations where infinite transitivity takes place for automorphism groups generated by finitely many one-parameter subgroups. In the appendices to the paper, the results on infinitely transitive actions in complex analysis and in combinatorial group theory are discussed.Comment: 39 page
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...
We provide a new criterion for flexibility of affine cones over varieties covered by flexible affine...
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...
In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely tra...
Let $X$ be an algebraic variety such that the group $\text{Aut}(X)$ acts on $X$ transitively. We def...
A group G acts infinitely transitively on a set Y if for every positive integer m , its action is m ...
International audienceA group G acts infinitely transitively on a set Y if for every positive intege...
AbstractA group G acts infinitely transitively on a set Y if for every positive integer m, its actio...
AbstractA group G acts infinitely transitively on a set Y if for every positive integer m, its actio...
Given an irreducible affine algebraic variety X of dimension n≥2 , we let SAut(X) denote the speci...
Published in: Advances in Mathematics 351 (2019), 1-32An affine algebraic variety X of dimension ≥ ...
La thèse se compose de deux parties. La première partie est consacrée aux transformations des algèbr...
We construct new families of groups with property (T) and infinitely many alternating group quotient...
This thesis is devoted to the actions of groups of algebraic transformations on affine algebraic var...
This thesis is devoted to the actions of groups of algebraic transformations on affine algebraic var...
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...
We provide a new criterion for flexibility of affine cones over varieties covered by flexible affine...
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...
In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely tra...
Let $X$ be an algebraic variety such that the group $\text{Aut}(X)$ acts on $X$ transitively. We def...
A group G acts infinitely transitively on a set Y if for every positive integer m , its action is m ...
International audienceA group G acts infinitely transitively on a set Y if for every positive intege...
AbstractA group G acts infinitely transitively on a set Y if for every positive integer m, its actio...
AbstractA group G acts infinitely transitively on a set Y if for every positive integer m, its actio...
Given an irreducible affine algebraic variety X of dimension n≥2 , we let SAut(X) denote the speci...
Published in: Advances in Mathematics 351 (2019), 1-32An affine algebraic variety X of dimension ≥ ...
La thèse se compose de deux parties. La première partie est consacrée aux transformations des algèbr...
We construct new families of groups with property (T) and infinitely many alternating group quotient...
This thesis is devoted to the actions of groups of algebraic transformations on affine algebraic var...
This thesis is devoted to the actions of groups of algebraic transformations on affine algebraic var...
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...
We provide a new criterion for flexibility of affine cones over varieties covered by flexible affine...
Cette thèse est consacrée aux actions des groupes de transformations algébriques sur les variétés af...