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Izvestiya: Mathematics, 2005, Volume 69, Issue 2, Pages 365–421
DOI: https://doi.org/10.1070/IM2005v069n02ABEH000533 (Mi im637) 		 
This article is cited in 32 scientific papers (total in 32 papers)

Hyperelliptic and trigonal Fano threefolds

V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (623 kB) Citations (32) Russian version article
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DOI: https://doi.org/10.1070/IM2005v069n02ABEH000533
Abstract: We classify Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system has no base points but does not give an embedding, and we classify anticanonically embedded Fano 3-folds with canonical Gorenstein singularities which are not intersections of quadrics. We also study rationality questions for most of these varieties.
Received: 01.07.2004
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: 14J45, 14J30, 14J17, 14E08, 14E05
Language: English
Original paper language: Russian
Citation: V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Hyperelliptic and trigonal Fano threefolds”, Izv. Math., 69:2 (2005), 365–421
Citation in format AMSBIB
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\by V.~V.~Przyjalkowski, I.~A.~Cheltsov, K.~A.~Shramov
\paper Hyperelliptic and trigonal Fano threefolds
\jour Izv. Math.
\yr 2005
\vol 69
\issue 2
\pages 365--421
\mathnet{http://mi.mathnet.ru//eng/im637}
\crossref{https://doi.org/10.1070/IM2005v069n02ABEH000533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2136260}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-29144525238}
Linking options:
  • https://www.mathnet.ru/eng/im637
  • https://doi.org/10.1070/IM2005v069n02ABEH000533
  • https://www.mathnet.ru/eng/im/v69/i2/p145
    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:1032
    Russian version PDF:323
    English version PDF:39
    References:100
    First page:2
     
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