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

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

2005-12-27

arxiv.org/abs/math/0512603v2

Mathematics

Algebraic Geometry

10 pages, LaTex. The e-mail address of the second author has been corrected

Scientific paper

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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