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arXiv · 2101.04441

On cylindrical smooth rational Fano fourfolds

Hang Thi Anh Nguyen·Michael Hoff·Truong Le Hoang
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Abstract

We construct new families of smooth Fano fourfolds with Picard rank $1$ which contain open $\Bbb A^1$-cylinders, that is, Zariski open subsets of the form $Z \times \Bbb A^1$, where $Z$ is a quasiprojective variety. In particular, we show that every Mukai fourfold of genus $8$ is cylindrical and there exists a family of cylindrical Gushel-Mukai fourfolds.

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Hang Thi Anh Nguyen, Michael Hoff, Truong Le Hoang. 2021-01-12. On cylindrical smooth rational Fano fourfolds. https://arxiv.org/abs/2101.04441

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