English

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

Algebraic Geometry 2007-05-23 v2

Abstract

In this paper we study the automorphisms group of some K3K3 surfaces which are double covers of the projective plane ramified over a smooth sextic plane curve. More precisely, we study the case of a K3K3 surface of Picard rank two such that there is a rational curve of degree dd which is tangent to the sextic in dd points.

Keywords

Cite

@article{arxiv.math/0512603,
  title  = {On the automorphisms of some $K3$ surface double cover of the plane},
  author = {Federica Galluzzi and Giuseppe Lombardo},
  journal= {arXiv preprint arXiv:math/0512603},
  year   = {2007}
}

Comments

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