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Moscow Mathematical Journal

Volume 17, Issue 3, July–September 2017  pp. 457–509.

Jordan Constant for Cremona Group of Rank 3

Authors:  Yuri Prokhorov (1) and Constantin Shramov (1)
Author institution:(1) Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina st., Moscow, Russia, 119991


We give explicit bounds for Jordan constants of groups of birational automorphisms of rationally connected threefolds over fields of zero characteristic, in particular, for Cremona groups of ranks 2 and 3.

2010 Math. Subj. Class. 14E07, 14J30.

Keywords: Birational automorphisms, Cremona group, Jordan property, Jordan constant.

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