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arXiv · 2208.09109

Flexibility of Affine cones over Mukai fourfolds of genus $g\ge7$

Michael Hoff·Hoang Le Truong
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Abstract

We show that the affine cones over a general Fano-Mukai fourfold of genus $g=7$, $8$ and $9$ are flexible. Equivalently, there is an infinitely transitive action of the special automorphism group on such affine cones. In particular, any Mukai fourfold of genus $7,8$ and $9$ is $\Bbb A^2$-cylindrical.

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Michael Hoff, Hoang Le Truong. 2022-08-19. Flexibility of Affine cones over Mukai fourfolds of genus $g\ge7$. https://arxiv.org/abs/2208.09109

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