Jordan property for groups of birational selfmaps

Abstract

Assuming a particular case of Borisov--Alexeev--Borisov conjecture, we prove that finite subgroups of the automorphism group of a finitely generated field over Q have bounded orders. Further, we investigate which algebraic varieties have groups of birational selfmaps satisfying the Jordan property.

LaTeX, 19 pages

Cited by in corpus (12)

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• Actions of large finite groups on aspherical manifolds