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A One-Dimensional Family of K3 Surfaces with a ℤ4 Action
Published online by Cambridge University Press: 20 November 2018
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 ${{\mathbb{Z}}_{4}}$. 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.
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- Copyright © Canadian Mathematical Society 2009
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