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Sbornik: Mathematics, 2010, Volume 201, Issue 7, Pages 1069–1090
DOI: https://doi.org/10.1070/SM2010v201n07ABEH004103 (Mi sm7575) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a conjecture of Ciliberto

I. A. Cheltsov

University of Edinburgh
English version PDF (315 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2010v201n07ABEH004103
Abstract: We prove that a threefold hypersurface of degree $d$ with at most ordinary double points is factorial if it contains no planes and has at most $(d-1)^2$ singular points.
Bibliography: 13 titles.
Keywords: hypersurfaces, ordinary double points, factorial property.
Received: 12.05.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 7, Pages 137–160
DOI: https://doi.org/10.4213/sm7575
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14J30, 14J70
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “On a conjecture of Ciliberto”, Sb. Math., 201:7 (2010), 1069–1090
Citation in format AMSBIB
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\paper On a~conjecture of Ciliberto
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\yr 2010
\vol 201
\issue 7
\pages 1069--1090
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  • https://www.mathnet.ru/eng/sm7575
  • https://doi.org/10.1070/SM2010v201n07ABEH004103
  • https://www.mathnet.ru/eng/sm/v201/i7/p137
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:397
    Russian version PDF:181
    English version PDF:10
    References:95
    First page:21
     
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