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Mosc. Math. J., 2017, Volume 17, Number 3, Pages 457–509 (Mi mmj631)  
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
References: PDF file   HTML file

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
\Bibitem{ProShr17}
\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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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029226097}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456  mathnet  crossref  crossref  adsnasa  isi  elib
    		• Moscow Mathematical Journal
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