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

2020/05/25 by Prokhorov, Yuri, Zaidenberg, Mikhail · 1 citation
#14J45 #14R20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14J35 #Secondary 14R10

paper · doi:10.48550/arxiv.2005.12092

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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