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Izvestiya: Mathematics, 2015, Volume 79, Issue 4, Pages 795–808
DOI: https://doi.org/10.1070/IM2015v079n04ABEH002761 (Mi im8349) 		 
This article is cited in 28 scientific papers (total in 28 papers)

On $G$-Fano threefolds

Yu. G. Prokhorov

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (329 kB) Citations (28)
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DOI: https://doi.org/10.1070/IM2015v079n04ABEH002761
Abstract: We study Fano threefolds with terminal Gorenstein singularities admitting a ‘minimal’ action of a finite group. We prove that under certain additional assumptions such a variety contains no planes. We also obtain upper bounds for the number of singular points of certain Fano threefolds with terminal factorial singularities.
Keywords: birational map, Fano variety, terminal singularity, divisor, linear system.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 01.02.2015
Revised: 08.02.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 4, Pages 159–174
DOI: https://doi.org/10.4213/im8349
Bibliographic databases:
Document Type: Article
UDC: 512.76
MSC: 14E07, 14J45, 14J30, 14J50, 14E07, 14E30
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. RAN. Ser. Mat., 79:4 (2015), 159–174; Izv. Math., 79:4 (2015), 795–808
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v79/i4/p159
    • This publication is cited in the following 28 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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    References:59
    First page:26
     
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