New examples of cylindrical Fano fourfolds

Abstract

We construct new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form $Z\times A^1$, where $Z$ is a quasiprojective variety. The affine cones over such a fourfold admit effective $G_a$-actions. Similar constructions of cylindrical Fano threefolds and fourfolds were done previously in [KPZ11, KPZ14, PZ15].

18 pages, latex

References in corpus (1)

• Affine cones over Fano threefolds and additive group actions

Cited by in corpus (2)

• Cylinders in del Pezzo fibrations
• Deformations of ${\mathbb{A}}^1$-cylindrical varieties