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Izvestiya: Mathematics, 2013, Volume 77, Issue 3, Pages 627–648
DOI: https://doi.org/10.1070/IM2013v077n03ABEH002652 (Mi im8014) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On birational involutions of $\mathbb P^3$

Yu. G. Prokhorovab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b National Research University "Higher School of Economics"
English version PDF (402 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM2013v077n03ABEH002652
Abstract: We study elements $\tau$ of order two in the birational automorphism groups of rationally connected three-dimensional algebraic varieties such that there exists a non-uniruled divisorial component of the $\tau$-fixed point locus. Using the equivariant minimal model program, we give a rough classification of such elements.
Keywords: rational map, Cremona group, Fano variety.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00336-a
11-01-92613-KO_a
Ministry of Education and Science of the Russian Federation НШ-4713.2010.1
11.G34.31.0023
Simons Foundation
Received: 22.06.2012
Revised: 30.11.2012
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: 14E07, 20B25
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, “On birational involutions of $\mathbb P^3$”, Izv. Math., 77:3 (2013), 627–648
Citation in format AMSBIB
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\by Yu.~G.~Prokhorov
\paper On birational involutions of~$\mathbb P^3$
\jour Izv. Math.
\yr 2013
\vol 77
\issue 3
\pages 627--648
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  • https://www.mathnet.ru/eng/im8014
  • https://doi.org/10.1070/IM2013v077n03ABEH002652
  • https://www.mathnet.ru/eng/im/v77/i3/p199
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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