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Feb 6, 2019 at 10:46 comment added Francesco Polizzi A remark: any biregular involution of $\mathbb{P}^3$ has two lines of fixed points, hence (generically) eight fixed points on $X$. So one cannot hope to get an Enriques involution by the restriction of a biregular involution of the ambient space. I do not know if there is a construction using a birational involution of $\mathbb{P}^3$.
Feb 6, 2019 at 10:20 history asked Davide Cesare Veniani CC BY-SA 4.0