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Sbornik: Mathematics, 2005, Volume 196, Issue 1, Pages 77–114
DOI: https://doi.org/10.1070/SM2005v196n01ABEH000873
(Mi sm1262)
 

This article is cited in 45 scientific papers (total in 45 papers)

On the degree of Fano threefolds with canonical Gorenstein singularities

Yu. G. Prokhorov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: Fano threefolds $X$ with canonical Gorenstein singularities are considered. The sharp bound $-K_X^3\leqslant 72$ for their degree is proved.
Received: 02.12.2003 and 01.06.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 1, Pages 81–122
DOI: https://doi.org/10.4213/sm1262
Bibliographic databases:
UDC: 512.7
MSC: 14J30, 14J45
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, “On the degree of Fano threefolds with canonical Gorenstein singularities”, Mat. Sb., 196:1 (2005), 81–122; Sb. Math., 196:1 (2005), 77–114
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm1262
  • https://doi.org/10.1070/SM2005v196n01ABEH000873
  • https://www.mathnet.ru/eng/sm/v196/i1/p81
  • This publication is cited in the following 45 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:638
    Russian version PDF:229
    English version PDF:22
    References:77
    First page:4
     
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