The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces

Shigeru Mukai, Hisanori Ohashi

Let $S$ be the (minimal) Enriques surface obtained from the symmetric quartic surface $({\sum }_{i<j}{x}_i{x}_j{)}^2=k{x}_1{x}_2{x}_3{x}_4$ in ${\mathbb{P}}^3$ with $k\ne 0,4,36$, by taking quotient…