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Moscow Mathematical Journal, 2017, Volume 17, Number 3, Pages 457–509
DOI: https://doi.org/10.17323/1609-4514-2017-17-3-457-509 (Mi mmj631) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Jordan constant for Cremona group of rank $3$

Yuri Prokhorov, Constantin Shramov

Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina st., Moscow, Russia, 119991
Citations (21)
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DOI: https://doi.org/10.17323/1609-4514-2017-17-3-457-509
Abstract: 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 $3$.
Key words and phrases: birational automorphisms, Cremona group, Jordan property, Jordan constant.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: August 30, 2016; in revised form June 8, 2017
Bibliographic databases:
Document Type: Article
MSC: 14E07, 14J30
Language: English
Citation: Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank $3$”, Mosc. Math. J., 17:3 (2017), 457–509
Citation in format AMSBIB
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\by Yuri~Prokhorov, Constantin~Shramov
\paper Jordan constant for Cremona group of rank~$3$
\jour Mosc. Math.~J.
\yr 2017
\vol 17
\issue 3
\pages 457--509
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