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arXiv · 2211.04948

Central Weyl involutions on Fano-Mukai fourfolds of genus 10

Mikhail Zaidenberg
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Abstract

It is known that every Fano-Mukai fourfold X of genus 10 is acted upon by an involution $\tau$ which comes from the center of the Weyl group of the simple algebraic group of type ${\rm G}_2$. This involution is uniquely defined up to conjugation in the group Aut(X). In this note we describe the set of fixed points of $\tau$ and the surface scroll swept out by the $\tau$-invariant lines.

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Mikhail Zaidenberg. 2022-11-09. Central Weyl involutions on Fano-Mukai fourfolds of genus 10. https://arxiv.org/abs/2211.04948

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