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Izvestiya: Mathematics, 2002, Volume 66, Issue 1, Pages 201–222
DOI: https://doi.org/10.1070/IM2002v066n01ABEH000377 (Mi im377) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Birational automorphisms of a class of varieties fibred into cubic surfaces

I. V. Sobolev

M. V. Lomonosov Moscow State University
English version PDF (244 kB) Citations (19)
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DOI: https://doi.org/10.1070/IM2002v066n01ABEH000377
Abstract: We investigate the properties of a variety $V$ that is a divisor of bidegree $(2,3)$ in $\mathbb P^1\times\mathbb P^3$. We calculate the group of its birational automorphisms and prove that $V$ admits no conic bundle structure and is not rational.
Received: 30.01.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 1, Pages 203–224
DOI: https://doi.org/10.4213/im377
Bibliographic databases:
UDC: 512.6
MSC: 14J50, 14E15, 14E07, 14J45
Language: English
Original paper language: Russian
Citation: I. V. Sobolev, “Birational automorphisms of a class of varieties fibred into cubic surfaces”, Izv. RAN. Ser. Mat., 66:1 (2002), 203–224; Izv. Math., 66:1 (2002), 201–222
Citation in format AMSBIB
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\by I.~V.~Sobolev
\paper Birational automorphisms of a~class of varieties fibred into cubic surfaces
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 1
\pages 203--224
\mathnet{http://mi.mathnet.ru/im377}
\crossref{https://doi.org/10.4213/im377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1917543}
\zmath{https://zbmath.org/?q=an:1061.14015}
\elib{https://elibrary.ru/item.asp?id=13915637}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 1
\pages 201--222
\crossref{https://doi.org/10.1070/IM2002v066n01ABEH000377}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-11144328658}
Linking options:
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  • https://doi.org/10.1070/IM2002v066n01ABEH000377
  • https://www.mathnet.ru/eng/im/v66/i1/p203
    • This publication is cited in the following 19 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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    Abstract page:570
    Russian version PDF:218
    English version PDF:9
    References:92
    First page:2
     
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