Jordan property for groups of birational selfmaps

Published 6 Jul 2013 in math.AG | (1307.1784v4)

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.

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