Characterization of varieties of Fano type via singularities of Cox rings

We show that every Mori dream space of globally F 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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Bibliographic Details
Published in:Journal of algebraic geometry 2015-01, Vol.24 (1), p.159-182
Main Authors: Gongyo, Yoshinori, Okawa, Shinnosuke, Sannai, Akiyoshi, Takagi, Shunsuke
Format: Article
Language:English
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Description
Summary:We show that every Mori dream space of globally F 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.
ISSN:1056-3911
1534-7486
DOI:10.1090/S1056-3911-2014-00641-X