A one dimensional family of K3 surfaces with a Z₄ action

2006/05/05 by Michela Artebani, Artebani, Michela
Mathematics · #Algebraic Geometry and Number Theory #Finite Group Theory Research #Geometric and Algebraic Topology #math.AG #msc:14H10 #msc:14J10 #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0605152

arxiv created 2006/05/23 · arxiv updated 2009/12/01

Abstract

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 Z₄. 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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