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Sbornik: Mathematics, 1997, Volume 188, Issue 11, Pages 1665–1685
DOI: https://doi.org/10.1070/sm1997v188n11ABEH000277
(Mi sm277)
 

This article is cited in 12 scientific papers (total in 12 papers)

On the existence of complements of the canonical divisor for Mori conic bundles

Yu. G. Prokhorov

M. V. Lomonosov Moscow State University
References:
Abstract: This paper continues the author's study of extremal contractions in the sense of Mori from three-dimensional varieties onto surfaces. Such contractions occur in a natural way in the birational classification theory of three-dimensional algebraic varieties. Reid's “general elephant” conjecture of the complementedness of the canonical divisor and also the conjecture about singularities of the base surface are discussed. The situation is studied locally near a singular fibre.
Received: 21.01.1997
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 11, Pages 99–120
DOI: https://doi.org/10.4213/sm277
Bibliographic databases:
UDC: 512.7
MSC: 14J30, 14E35
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, “On the existence of complements of the canonical divisor for Mori conic bundles”, Mat. Sb., 188:11 (1997), 99–120; Sb. Math., 188:11 (1997), 1665–1685
Citation in format AMSBIB
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\paper On the existence of complements of the~canonical divisor for Mori conic bundles
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\issue 11
\pages 99--120
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Linking options:
  • https://www.mathnet.ru/eng/sm277
  • https://doi.org/10.1070/sm1997v188n11ABEH000277
  • https://www.mathnet.ru/eng/sm/v188/i11/p99
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:500
    Russian version PDF:190
    English version PDF:15
    References:62
    First page:3
     
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