Preprint
Oct 2026
Equivariant Unirationality of Cubic Threefolds
Using the recent proof of the Cassels--Swinnerton-Dyer conjecture for cubic surfaces, we finish the classification of $G$-unirational complex cubic threefolds. In particular, we prove that the Klein cubic threefold is $\mathsf{PSL}_2(\mathbb{F}_{11})$-unirational, establishing that the essential dimension of $\mathsf{P...
Matthew R. Ballard, A. Duncan, Zhi-Jia Zhang
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