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arxiv: 1201.1133 · v1 · pith:BXEBTD63new · submitted 2012-01-05 · 🧮 math.AG · math.AC

Characterization of varieties of Fano type via singularities of Cox rings

Yoshinori Gongyo , Shinnosuke Okawa , Akiyoshi Sannai , Shunsuke Takagi This is my paper
classification 🧮 math.AG math.AC
keywords typefanocharacterizationringssingularitiesvarietiesapplicationdream
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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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