Tohoku Mathematical Journal
2017
March
SECOND SERIES VOL. 69, NO. 1

Tohoku Math. J.
69 (2017), 35-42

Title SURFACES OF GLOBALLY $F$-REGULAR TYPE ARE OF FANO TYPE

Author Shinnosuke Okawa

(Received August 22, 2013, revised May 8, 2015)
Abstract. We prove that a projective surface of globally $F$-regular type defined over a field of characteristic zero is of Fano type.

Mathematics Subject Classification. Primary 14J45; Secondary 14E30.
Key words and phrases. Varieties of Fano type, Varieties of globally $F$-regular type, Mori dream space.

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