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Sbornik: Mathematics, 1998, Volume 189, Issue 1, Pages 97–114
DOI: https://doi.org/10.1070/sm1998v189n01ABEH000294 (Mi sm294) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Birational automorphisms of a three-dimensional double quadric with an elementary singularity

M. M. Grinenko

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (242 kB) Citations (8)
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DOI: https://doi.org/10.1070/sm1998v189n01ABEH000294
Abstract: It is proved that the group of birational automorphisms of a three-dimensional double quadric with a singular point arising from a double point on the branch divisor is a semidirect product of the free group generated by birational involutions of a special form and the group of regular automorphisms. The proof is based on the method of 'untwisting' maximal singularities of linear systems.
Received: 17.02.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 1, Pages 101–118
DOI: https://doi.org/10.4213/sm294
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: Primary 14E07, 14J20; Secondary 14C20, 14E09, 14E05, 14J28, 14J45
Language: English
Original paper language: Russian
Citation: M. M. Grinenko, “Birational automorphisms of a three-dimensional double quadric with an elementary singularity”, Mat. Sb., 189:1 (1998), 101–118; Sb. Math., 189:1 (1998), 97–114
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:358
    Russian version PDF:180
    English version PDF:13
    References:83
    First page:2
     
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