Equivariant rationality of Fano threefolds in the family \textnumero 2.12

Oliver Li, Joseph Malbon, Antoine Pinardin

We prove that a faithful group action on the smooth complete intersection $X$ of three divisors of bidegree $(1,1)$ in $\p^3\times\p^3$ is linearisable if and only if $\rk(\pic^G(X…