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A One-Dimensional Family of K3 Surfaces with a ℤ4 Action

Published online by Cambridge University Press:  20 November 2018

Michela Artebani
Michela Artebani*
Affiliation:
Departamento de Matemática, Universidad de Concepción, Concepción, Chile e-mail: [email protected]
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Abstract

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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 ${{\mathbb{Z}}_{4}}$. 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.

Keywords

14J2814J5014J10genus three curvesK3 surfaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 493 - 510
Copyright
Copyright © Canadian Mathematical Society 2009

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