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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 2, Pages 269–280
DOI: https://doi.org/10.1070/IM1983v021n02ABEH001790
(Mi im1654)
 

This article is cited in 20 scientific papers (total in 20 papers)

Birational geometry of toric 3-folds

V. I. Danilov
References:
Abstract: The following result is proved. Suppose given smooth toric $3$-folds $X$ and $Y$ and a proper birational toric morphism $f\colon X\to Y$. Then $f$ decomposes as a composite of blow-ups and blow-downs in smooth toric strata.
Bibliography: 7 titles.
Received: 05.01.1982
Bibliographic databases:
UDC: 513.6
MSC: Primary 14E30; Secondary 14E05, 14E35, 14M20
Language: English
Original paper language: Russian
Citation: V. I. Danilov, “Birational geometry of toric 3-folds”, Math. USSR-Izv., 21:2 (1983), 269–280
Citation in format AMSBIB
\Bibitem{Dan82}
\by V.~I.~Danilov
\paper Birational geometry of toric 3-folds
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 2
\pages 269--280
\mathnet{http://mi.mathnet.ru//eng/im1654}
\crossref{https://doi.org/10.1070/IM1983v021n02ABEH001790}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=675526}
\zmath{https://zbmath.org/?q=an:0536.14008}
Linking options:
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  • https://doi.org/10.1070/IM1983v021n02ABEH001790
  • https://www.mathnet.ru/eng/im/v46/i5/p971
  • This publication is cited in the following 20 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:458
    Russian version PDF:186
    English version PDF:22
    References:40
    First page:1
     
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