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A One-Dimensional Family of K3 Surfaces with a ℤ4 Action
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- Journal:
- Canadian Mathematical Bulletin / Volume 52 / Issue 4 / 01 December 2009
- Published online by Cambridge University Press:
- 20 November 2018, pp. 493-510
- Print publication:
- 01 December 2009
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- Article
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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.
