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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 1, Pages 193–198
DOI: https://doi.org/10.1070/IM1985v024n01ABEH001223 (Mi im1424) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the closed cone of curves of algebraic 3-folds

V. V. Shokurov
English version PDF (319 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1985v024n01ABEH001223
Abstract: In this paper the author establishes, under natural conditions, the local polyhedrality of the closed cone of curves of a three-dimensional algebraic variety in the part that is negative with respect to the canonical class. In particular, it is shown that there always exists an extremal ray giving a contraction. The results can be used in three-dimensional birational geometry.
Bibliography: 7 titles.
Received: 14.03.1983
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: Primary 14E30, 14J30; Secondary 14J99
Language: English
Original paper language: Russian
Citation: V. V. Shokurov, “On the closed cone of curves of algebraic 3-folds”, Math. USSR-Izv., 24:1 (1985), 193–198
Citation in format AMSBIB
\Bibitem{Sho84}
\by V.~V.~Shokurov
\paper On~the closed cone of curves of algebraic 3-folds
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 1
\pages 193--198
\mathnet{http://mi.mathnet.ru//eng/im1424}
\crossref{https://doi.org/10.1070/IM1985v024n01ABEH001223}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733364}
\zmath{https://zbmath.org/?q=an:0565.14025}
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  • https://www.mathnet.ru/eng/im/v48/i1/p203
    • 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
     
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