Geodesic
A One-Dimensional Family of K3 Surfaces with a Z4 Action
Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 493-510

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DOI

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.
DOI : 10.4153/CMB-2009-051-8
Mots-clés : 14J28, 14J50, 14J10, genus three curves, K3 surfaces 
Artebani, Michela. A One-Dimensional Family of K3 Surfaces with a Z4 Action. Canadian mathematical bulletin, Tome 52 (2009) no. 4, pp. 493-510. doi: 10.4153/CMB-2009-051-8
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     author = {Artebani, Michela},
     title = {A {One-Dimensional} {Family} of {K3} {Surfaces} with a {Z4} {Action}},
     journal = {Canadian mathematical bulletin},
     pages = {493--510},
     year = {2009},
     volume = {52},
     number = {4},
     doi = {10.4153/CMB-2009-051-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-051-8/}
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