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

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.

arXiv comment10 pages, LaTex. The e-mail address of the second author has been corrected

Cited by in corpus (1)

• Automorphisms and autoequivalences of generic analytic K3 surfaces