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Sbornik: Mathematics, 2007, Volume 198, Issue 8, Pages 1165–1174
DOI: https://doi.org/10.1070/SM2007v198n08ABEH003878 (Mi sm3665) 		 
This article is cited in 7 scientific papers (total in 7 papers)

$\mathbb Q$-factorial quartic threefolds

K. A. Shramov

M. V. Lomonosov Moscow State University
English version PDF (291 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM2007v198n08ABEH003878
Abstract: It is proved that a nodal quartic threefold $X$ containing no planes is $\mathbb Q$-factorial if it has at most 12 singular points. An exception here is a quartic with precisely 12 singularities containing a quadric surface. Some geometric constructions relating to such a quartic are presented.
Bibliography: 14 titles.
Received: 07.09.2006 and 12.01.2007
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 8, Pages 103–114
DOI: https://doi.org/10.4213/sm3665
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: Primary 14J30; Secondary 14E05, 14E07
Language: English
Original paper language: Russian
Citation: K. A. Shramov, “$\mathbb Q$-factorial quartic threefolds”, Mat. Sb., 198:8 (2007), 103–114; Sb. Math., 198:8 (2007), 1165–1174
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:471
    Russian version PDF:180
    English version PDF:20
    References:79
    First page:4
     
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