Characterization of varieties of Fano type via singularities of Cox rings

Details Characterization of varieties of Fano type via singularities of Cox rings Characterization of varieties of Fano type via singularities of Cox rings

2012-01-05

arxiv.org/abs/1201.1133v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We show that every Mori dream space of globally $F$-regular type is of Fano
type. As an application, we give a characterization of varieties of Fano type
in terms of the singularities of their Cox rings.

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