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arXiv · 2005.12092

Affine cones over Fano-Mukai fourfolds of genus 10 are flexible

Yuri Prokhorov·Mikhail Zaidenberg
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Abstract

We show that the affine cones over any Fano-Mukai fourfold of genus 10 are flexible; in particular, the automorphism group of such a cone acts highly transitively outside the vertex. Furthermore, any Fano-Mukai fourfold of genus 10, with one exception, admits a covering by open charts isomorphic to the affine four-space.

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Yuri Prokhorov, Mikhail Zaidenberg. 2020-05-25. Affine cones over Fano-Mukai fourfolds of genus 10 are flexible. https://arxiv.org/abs/2005.12092

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