Seminar Algebra and Geometry: Yuri Prokhorov (Steklov Mathematical Institute)

Jordan properties of groups of birational automorphisms

A group B is said to be Jordan if there is a constant J=J(B) such that if for any finite subgroup G ⊂ B there exists a normal abelian subgroup A ⊂ G of index at most J. We discuss the following natural problem: describe algebraic varieties for which the group of  birational self-maps is Jordan.

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