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On the automorphisms of some $K3$ surface double cover of the plane

Federica Galluzzi·Giuseppe Lombardo
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Abstract

In this paper we study the automorphisms group of some $K3$ surfaces which are double covers of the projective plane ramified over a smooth sextic plane curve. More precisely, we study the case of a $K3$ surface of Picard rank two such that there is a rational curve of degree $d$ which is tangent to the sextic in $d$ points.

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Federica Galluzzi, Giuseppe Lombardo. 2006-01-09. On the automorphisms of some $K3$ surface double cover of the plane. https://arxiv.org/abs/math/0512603

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