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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 2, Pages 145–204
DOI: https://doi.org/10.4213/im637
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. RAN. Ser. Mat., 69:2 (2005), 145–204; Izv. Math., 69:2 (2005), 365–421
Citation in format AMSBIB
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  • 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
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    English version PDF:35
    References:99
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