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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
References:
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
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”, Sb. Math., 199:2 (2008), 291–306
Citation in format AMSBIB
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\by I.~A.~Cheltsov
\paper Double spaces with isolated singularities
\jour Sb. Math.
\yr 2008
\vol 199
\issue 2
\pages 291--306
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\crossref{https://doi.org/10.1070/SM2008v199n02ABEH003920}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44449111271}
Linking options:
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  • https://doi.org/10.1070/SM2008v199n02ABEH003920
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:508
    Russian version PDF:189
    English version PDF:10
    References:63
    First page:1
     
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