3.9 Article

G-Fano threefolds, I

Journal

ADVANCES IN GEOMETRY
Volume 13, Issue 3, Pages 389-418

Publisher

WALTER DE GRUYTER GMBH
DOI: 10.1515/advgeom-2013-0008

Keywords

Fano variety; del Pezzo variety; terminal singularity

Categories

Funding

  1. POSTECH

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We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G. In particular, we find a lot of examples of Fano 3-folds with many symmetries.

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