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arXiv:1201.1133 [math.AG]AbstractReferencesReviewsResources

Characterization of varieties of Fano type via singularities of Cox rings

Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai, Shunsuke Takagi

Published 2012-01-05Version 1

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.

Comments: 22 pages
Categories: math.AG, math.AC
Subjects: 14J45, 13A35, 14B05, 14E30
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