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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 1, Pages 187–200
DOI: https://doi.org/10.1070/IM1983v021n01ABEH001653
(Mi im1651)
 

This article is cited in 4 scientific papers (total in 4 papers)

Decomposition of a birational map of three-dimensional varieties outside codimension 2

Vik. S. Kulikov
References:
Abstract: The main result is the proof of the fact that one can perform a finite number of monoidal transformations with nonsingular centers in such a way that any two nonsingular birationally isomorphic threefolds become isomorphic outside codimension $2$, and the subsets at which the varieties are not isomorphic consist of unions of nonsingular rational curves transversally intersecting with each other.
Bibliography: 8 titles.
Received: 08.12.1981
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: 14E05, 14E35
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “Decomposition of a birational map of three-dimensional varieties outside codimension 2”, Math. USSR-Izv., 21:1 (1983), 187–200
Citation in format AMSBIB
\Bibitem{Kul82}
\by Vik.~S.~Kulikov
\paper Decomposition of a~birational map of three-dimensional varieties outside codimension~2
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 1
\pages 187--200
\mathnet{http://mi.mathnet.ru//eng/im1651}
\crossref{https://doi.org/10.1070/IM1983v021n01ABEH001653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=670170}
\zmath{https://zbmath.org/?q=an:0544.14024}
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  • https://www.mathnet.ru/eng/im1651
  • https://doi.org/10.1070/IM1983v021n01ABEH001653
  • https://www.mathnet.ru/eng/im/v46/i4/p881
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:239
    Russian version PDF:72
    English version PDF:14
    References:44
    First page:1
     
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