Tohoku Mathematical Journal
2020
March
SECOND SERIES VOL. 72, NO. 1

Tohoku Math. J.
72 (2020), 77-86

Title TORIC FANO CONTRACTIONS ASSOCIATED TO LONG EXTREMAL RAYS

Author Osamu Fujino and Hiroshi Sato

(Received April 23, 2018, revised August 15, 2018)
Abstract. We show that a toric Fano contraction associated to an extremal ray whose length is greater than the dimension of its fiber is a projective space bundle.

Mathematics Subject Classification. Primary 14M25; Secondary 14E30.
Key words and phrases. Toric Mori theory, lengths of extremal rays, Fano contractions, projective bundles.

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