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arXiv:1307.1784 [math.AG]AbstractReferencesReviewsResources

Jordan property for groups of birational selfmaps

Yuri Prokhorov, Constantin Shramov

Published 2013-07-06, updated 2014-05-11Version 4

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.

Comments: LaTeX, 19 pages
Categories: math.AG
Subjects: 14E07, 14E05, 14E30, 14J45, 14J40
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