On \(K3\) double planes covering Enriques surfaces (Q2308339)

An Enriques surface is called nodal if it contains a smooth rational curve of self-intersection \(-2\). The article under review provides an explicit geometric construction of complex nodal Enriques surfaces. The double cover of the projective plane branched over a suitable sextic curve invariant under a Cremona transformation admits a fixed point free involution with quotient a nodal Enriques surface. Conversely, the universal cover of a general nodal Enriques surface is a double plane branched over an appropriate sextic curve invariant under the Cremona involution. Moreover, the authors give a more straightforward proof of the automorphism group of a generic nodal Enriques surface, computed in [\textit{F. Cossec} and \textit{I. Dolgachev}, Bull. Am. Math. Soc., New Ser. 12, 247--249 (1985; Zbl 0569.14016)].