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arXiv · 1201.1133

Characterization of varieties of Fano type via singularities of Cox rings

Yoshinori Gongyo·Shinnosuke Okawa·Akiyoshi Sannai·Shunsuke Takagi
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Abstract

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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Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai, Shunsuke Takagi. 2012-01-05. Characterization of varieties of Fano type via singularities of Cox rings. https://arxiv.org/abs/1201.1133

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