Toric Fano contractions associated to long extremal rays

Osamu Fujino; Hiroshi Sato

doi:10.2748/tmj/1585101622

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.

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Osamu Fujino. Hiroshi Sato. "Toric Fano contractions associated to long extremal rays." Tohoku Math. J. (2) 72 (1) 77 - 86, 2020. https://doi.org/10.2748/tmj/1585101622

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Published: 2020

First available in Project Euclid: 25 March 2020

zbMATH: 07199988

MathSciNet: MR4079425

Digital Object Identifier: 10.2748/tmj/1585101622

Subjects:

Primary: 14M25

Secondary: 14E30

Keywords: Fano contractions , lengths of extremal rays , projective bundles , toric Mori theory

Abstract

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