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Mathematics of the USSR-Izvestiya, 1986, Volume 26, Issue 3, Pages 591–604
DOI: https://doi.org/10.1070/IM1986v026n03ABEH001160 (Mi im1368) 		 
This article is cited in 48 scientific papers (total in 48 papers)

The nonvanishing theorem

V. V. Shokurov
English version PDF (762 kB) Citations (48) Russian version article
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DOI: https://doi.org/10.1070/IM1986v026n03ABEH001160
Abstract: The main result of the paper is a nonvanishing theorem that is a sufficient condition for nontriviality of the zeroth cohomology group of inverse sheaves. In addition, applications of this theorem to multidimensional projective geometry are indicated and problems illuminating further insight into the theory of Mori extremal rays are formulated.
Bibliography: 14 titles.
Received: 28.09.1983
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: Primary 14J10; Secondary 14F12, 14E30, 14J30
Language: English
Original paper language: Russian
Citation: V. V. Shokurov, “The nonvanishing theorem”, Math. USSR-Izv., 26:3 (1986), 591–604
Citation in format AMSBIB
\Bibitem{Sho85}
\by V.~V.~Shokurov
\paper The nonvanishing theorem
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 3
\pages 591--604
\mathnet{http://mi.mathnet.ru/eng/im1368}
\crossref{https://doi.org/10.1070/IM1986v026n03ABEH001160}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=794958}
\zmath{https://zbmath.org/?q=an:0605.14006}
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  • https://doi.org/10.1070/IM1986v026n03ABEH001160
  • https://www.mathnet.ru/eng/im/v49/i3/p635
    • This publication is cited in the following 48 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:666
    Russian version PDF:248
    English version PDF:83
    References:91
    First page:2
     
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