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Article

On G-Fano threefolds

Izvestiya. Mathematics. 2015. Vol. 79 . No. 4. P. 795-808.
Translator: Y. Prokhorov.

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.