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arXiv · 1507.01748

New examples of cylindrical Fano fourfolds

Yuri Prokhorov·Mikhail Zaidenberg
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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].

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Yuri Prokhorov, Mikhail Zaidenberg. 2015-07-07. New examples of cylindrical Fano fourfolds. https://arxiv.org/abs/1507.01748

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