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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 3, Pages 521–558
DOI: https://doi.org/10.1070/IM1982v019n03ABEH001427 (Mi im1715) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Boundedness of the degree of Fano threefolds

S. M. L'vovskii
English version PDF (2267 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1982v019n03ABEH001427
Abstract: The following theorem, announced earlier by V. A. Iskovskih with a sketch of the proof, is established: if $V$ is a Fano 3-fold (i.e. $V$ is projective and the anticanonical class $-K_V$ is ample), then $(-K_V)^3\leqslant64$.
Bibliography: 12 titles.
Received: 14.04.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 6, Pages 1288–1331
Bibliographic databases:
UDC: 512.776
MSC: Primary 14J30; Secondary 14M99
Language: English
Original paper language: Russian
Citation: S. M. L'vovskii, “Boundedness of the degree of Fano threefolds”, Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981), 1288–1331; Math. USSR-Izv., 19:3 (1982), 521–558
Citation in format AMSBIB
\Bibitem{Lvo81}
\by S.~M.~L'vovskii
\paper Boundedness of the degree of Fano threefolds
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 6
\pages 1288--1331
\mathnet{http://mi.mathnet.ru/im1715}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=641803}
\zmath{https://zbmath.org/?q=an:0503.14020}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 3
\pages 521--558
\crossref{https://doi.org/10.1070/IM1982v019n03ABEH001427}
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    • This publication is cited in the following 3 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
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    Abstract page:280
    Russian version PDF:106
    English version PDF:13
    References:37
    First page:1
     
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