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Sbornik: Mathematics, 2008, Volume 199, Issue 2, Pages 291–306
DOI: https://doi.org/10.1070/SM2008v199n02ABEH003920 (Mi sm3844) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Double spaces with isolated singularities

I. A. Cheltsovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b University of Edinburgh
English version PDF (333 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/SM2008v199n02ABEH003920
Abstract: The non-rationality is proved for double covers of $\mathbb P^n$ branched over a hypersurface $F\subset\mathbb P^n$ of degree $2n\geqslant8$ with isolated singularities such that the multiplicity of each singular point of $F$ does not exceed $2(n-2)$ and the projectivization of its tangent cone is smooth.
Bibliography: 15 titles.
Received: 20.02.2007 and 28.06.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 2, Pages 131–148
DOI: https://doi.org/10.4213/sm3844
Bibliographic databases:
UDC: 512.76
MSC: Primary 14E08, 14J40; Secondary 14J45
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Double spaces with isolated singularities”, Mat. Sb., 199:2 (2008), 131–148; Sb. Math., 199:2 (2008), 291–306
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v199/i2/p131
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:481
    Russian version PDF:182
    English version PDF:3
    References:56
    First page:1
     
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