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Izvestiya: Mathematics, 2004, Volume 68, Issue 3, Pages 607–618
DOI: https://doi.org/10.1070/IM2004v068n03ABEH000490 (Mi im490) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Rationality of an Enriques–Fano threefold of genus five

I. A. Cheltsov
English version PDF (208 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2004v068n03ABEH000490
Abstract: We prove the rationality of a non-Gorenstein Fano threefold of Fano index one and degree eight having terminal cyclic quotient singularities and Picard group $\mathbb Z$. This threefold can be described as the quotient of a double covering of $\mathbb P^3$ ramified in a smooth quartic surface by an involution fixing eight different points.
Received: 07.10.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 3, Pages 181–194
DOI: https://doi.org/10.4213/im490
Bibliographic databases:
UDC: 513.6
MSC: 14J30, 14E08, 14C20
Language: English
Original paper language: Russian
Citation: I. A. Cheltsov, “Rationality of an Enriques–Fano threefold of genus five”, Izv. RAN. Ser. Mat., 68:3 (2004), 181–194; Izv. Math., 68:3 (2004), 607–618
Citation in format AMSBIB
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\pages 181--194
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\transl
\jour Izv. Math.
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  • https://doi.org/10.1070/IM2004v068n03ABEH000490
  • https://www.mathnet.ru/eng/im/v68/i3/p181
    • This publication is cited in the following 4 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:525
    Russian version PDF:209
    English version PDF:22
    References:81
    First page:2
     
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