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
Keywords:
additive group
,
affine cone
,
Fano variety
,
group action
Rights: Copyright © 2017 Mathematical Society of Japan
