Geodesic
On an Enriques Surface Associated With a Quartic Hessian Surface
Canadian journal of mathematics, Tome 71 (2019) no. 1, pp. 213-246

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DOI

Let $Y$ be a complex Enriques surface whose universal cover $X$ is birational to a general quartic Hessian surface. Using the result on the automorphism group of $X$ due to Dolgachev and Keum, we obtain a finite presentation of the automorphism group of $Y$. The list of elliptic fibrations on $Y$ and the list of combinations of rational double points that can appear on a surface birational to $Y$ are presented. As an application, a set of generators of the automorphism group of the generic Enriques surface is calculated explicitly.
DOI : 10.4153/CJM-2018-022-7
Mots-clés : Enriques surface, K3 surface, automorphism, lattice 
Shimada, Ichiro. On an Enriques Surface Associated With a Quartic Hessian Surface. Canadian journal of mathematics, Tome 71 (2019) no. 1, pp. 213-246. doi: 10.4153/CJM-2018-022-7
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