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This article is cited in 1 scientific paper (total in 1 paper)
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
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. |
Full text:
http://www.mathjournals.org/.../2017-017-003-004.html
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Bibliographic databases:
ArXiv:
1608.00709
Document Type:
Article
MSC: 14E07, 14J30 Received: August 30, 2016; in revised form June 8, 2017
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
\mathnet{http://mi.mathnet.ru/mmj631}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3711004}
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http://mi.mathnet.ru/eng/mmj631 http://mi.mathnet.ru/eng/mmj/v17/i3/p457
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Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456
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