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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
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.
Received: 01.02.2015 Revised: 08.02.2015
Citation:
Yu. G. Prokhorov, “On $G$-Fano threefolds”, Izv. RAN. Ser. Mat., 79:4 (2015), 159–174; Izv. Math., 79:4 (2015), 795–808
Linking options:
https://www.mathnet.ru/eng/im8349https://doi.org/10.1070/IM2015v079n04ABEH002761 https://www.mathnet.ru/eng/im/v79/i4/p159
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Abstract page: | 711 | Russian version PDF: | 162 | English version PDF: | 20 | References: | 60 | First page: | 26 |
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