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arXiv · 1406.6339

Examples of cylindrical Fano fourfolds

Yuri Prokhorov·Mikhail Zaidenberg
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Abstract

We construct 4 di erent families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of the form Z x A1, where Z is a quasiprojective variety. The affi ne cones over such a fourfold admit eff ective Ga-actions. Similar constructions of cylindrical Fano threefolds were done previously in our papers jointly with Takashi Kishimoto.

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Yuri Prokhorov, Mikhail Zaidenberg. 2014-06-24. Examples of cylindrical Fano fourfolds. https://arxiv.org/abs/1406.6339

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