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

Summary:

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.

Contents Full-Text PDF