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The complex ball-quotient structure of the moduli space of certain sextic curves
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- Zheng Zhiwei
- Yanqi Lake Beijing Institute of Mathematical Sciences and Applications
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- Zhong Yiming
- Beijing International Center for Mathematical Research, Peking University
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Description
<p>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.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 76 (1), 23-50, 2024
The Mathematical Society of Japan