Moduli of Singular Sextic Curves via Periods of K3 Surfaces

Chenglong Yu University of Pennsylvania, Philadelphia, PA, United States Zhiwei Zheng Max Planck Institute for Mathematics, Bonn, Germany

Algebraic Geometry mathscidoc:2206.45002

2018.9
In this paper we realize the moduli spaces of singular sextic curves with specified symmetry type as arithmetic quotients of complex hyperbolic balls or type IV domains. We also identify their GIT compactifications with the Looijenga compactifications of the corresponding period domains, most of which are actually Baily-Borel compactifications.
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@inproceedings{chenglong2018moduli,
  title={Moduli of Singular Sextic Curves via Periods of K3 Surfaces},
  author={Chenglong Yu, and Zhiwei Zheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618165506350672414},
  year={2018},
}
Chenglong Yu, and Zhiwei Zheng. Moduli of Singular Sextic Curves via Periods of K3 Surfaces. 2018. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618165506350672414.
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