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Sbornik: Mathematics, 1998, Volume 189, Issue 7, Pages 991–1007
DOI: https://doi.org/10.1070/sm1998v189n07ABEH000336 (Mi sm336) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Birational automorphisms of a three-dimensional double cone

M. M. Grinenko

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (232 kB) Citations (24) Russian version article
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DOI: https://doi.org/10.1070/sm1998v189n07ABEH000336
Abstract: Birational rigidity is proved for a three-dimensional double cone, that is, a double cover of a quadric cone in $\mathbb P^2$ with branching in a smooth section of a quartic, and its non-rationality and the absence of conic bundle structures are also proved. The group of birational automorphisms of this variety is computed.
Received: 05.01.1998
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: Primary 14E07; Secondary 14E05, 14E15, 14J50
Language: English
Original paper language: Russian
Citation: M. M. Grinenko, “Birational automorphisms of a three-dimensional double cone”, Sb. Math., 189:7 (1998), 991–1007
Citation in format AMSBIB
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\by M.~M.~Grinenko
\paper Birational automorphisms of a~three-dimensional double cone
\jour Sb. Math.
\yr 1998
\vol 189
\issue 7
\pages 991--1007
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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