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VOL. 75 | 2017 New examples of cylindrical Fano fourfolds
Yuri Prokhorov, Mikhail Zaidenberg

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

Abstract

We produce new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form $Z\times{\mathbb A}^1$, where $Z$ is a quasiprojective variety. The affine cones over such a fourfold admit effective $\mathbb{G}_{\operatorname{a}}$-actions. Similar constructions of cylindrical Fano threefolds and fourfolds were done previously in [KPZ11, KPZ14, PZ16].

Information

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

zbMATH: 1396.14062
MathSciNet: MR3793372

Digital Object Identifier: 10.2969/aspm/07510443

Subjects:
Primary: 14J45, 14R20
Secondary: 14J50, 14R05

Rights: Copyright © 2017 Mathematical Society of Japan

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