Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings

Details Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings

2012-02-13

arxiv.org/abs/1202.2696v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that a Mori dream space over a field of characteristic zero is of
Calabi-Yau type if and only if its Cox ring has at worst log canonical
singularities. By slightly modifying the arguments we also reprove the
characterization of the varieties of Fano type by the log terminality of the
Cox rings.

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