Abstract
We study moduli spaces of certain sextic curves with a singularity of multiplicity 3 from both perspectives of Deligne–Mostow theory and periods of $K3$ surfaces. In both ways we can describe the moduli spaces via arithmetic quotients of complex hyperbolic balls. We show in Theorem 7.4 that the two ball-quotient constructions can be unified in a geometric way.
Citation
Zhiwei ZHENG. Yiming ZHONG. "The complex ball-quotient structure of the moduli space of certain sextic curves." J. Math. Soc. Japan 76 (1) 23 - 50, January, 2024. https://doi.org/10.2969/jmsj/88318831
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