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VOL. 75 | 2017 $\mathbb{Q}$-Fano threefolds with three birational Mori fiber structures

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

## Abstract

In this paper we give first examples of $\mathbb{Q}$-Fano threefolds whose birational Mori fiber structures consist of exactly three $\mathbb{Q}$-Fano threefolds. These examples are constructed as weighted hypersurfaces in a specific weighted projective space. We also observe that the number of birational Mori fiber structures does not behave upper semi-continuously in a family of $\mathbb{Q}$-Fano threefolds.

## Information

Published: 1 January 2017
First available in Project Euclid: 21 September 2018

zbMATH: 1396.14036
MathSciNet: MR3793370

Digital Object Identifier: 10.2969/aspm/07510393

Subjects:
Primary: 14E05, 14E07, 14J45

Rights: Copyright © 2017 Mathematical Society of Japan

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Vol. 75 • 1 January 2017
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