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This article is cited in 7 scientific papers (total in 7 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
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. |
DOI:
https://doi.org/10.17323/1609-4514-2017-17-3-457-509
Full text:
http://www.mathjournals.org/.../2017-017-003-004.html
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ArXiv:
1608.00709
MSC: 14E07, 14J30
Received: August 30, 2016; in revised form June 8, 2017
Language:
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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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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Z. Reichstein, “The Jordan property of Cremona groups and essential dimension”, Arch. Math., 111:5 (2018), 449–455
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V. L. Popov, “Compressible Finite Groups of Birational Automorphisms”, Dokl. Math., 98:2 (2018), 413–415
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Yu. Prokhorov, C. Shramov, “$p$-subgroups in the space Cremona group”, Math. Nachr., 291:8-9 (2018), 1374–1389
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E. A. Yasinsky, “P-Subgroups in Automorphism Groups of Real Del Pezzo Surfaces”, Dokl. Math., 97:2 (2018), 129–130
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A. G. Kuznetsov, Yu. G. Prokhorov, C. A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jap. J. Math., 13:1 (2018), 109–185
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Yu. Prokhorov, C. Shramov, “Finite groups of birational selfmaps of threefolds”, Math. Res. Lett., 25:3 (2018), 957–972
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