On cylindrical smooth rational Fano fourfolds
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 the...
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| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2101.04441 |