A one dimensional family of K3 surfaces with a Z_4 action

Details A one dimensional family of K3 surfaces with a Z_4 action A one dimensional family of K3 surfaces with a Z_4 action

2006-05-05

arxiv.org/abs/math/0605152v2

Mathematics

Algebraic Geometry

Scientific paper

The minimal resolution of the degree four cyclic cover of the plane branched
along a GIT stable quartic is a K3 surface with a non symplectic action of Z_4.
In this paper we study the geometry of the one dimensional family of K3
surfaces associated to the locus of plane quartics with five nodes.

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