CHARACTERIZATION OF VARIETIES OF FANO TYPE VIA SINGULARITIES OF COX RINGS

By Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai, S. Takagi. 2012

93 citations recorded by the source corpus.

We show that every Mori dream space of globally F- regular type is of Fano type. As an application, we give a charac- terization of varieties of Fano type in terms of the singularities of their Cox rings.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9141d1e309751e3d7a6158410c101bfa1ba4f69c

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In Geometry and Topology

1. R. Svaldi
2. J. McKernan
3. Hong R. Zong
4. Morgan V. Brown
5. C. Birkar
6. Chi Li
7. Christopher D. Hacon
8. F. Catanese

In Mathematical Physics

1. R. Svaldi
2. J. McKernan
3. Hong R. Zong
4. Morgan V. Brown
5. C. Birkar
6. Christopher D. Hacon

Citations in the corpus

• A geometric characterization of toric varieties (2016, methodology): “We actually use a more sophisticated version of the Cox ring, which was introduced in [9].”