某些性曲线模空间的复球商结构

Pub Date : 2021-10-20 DOI:10.2969/jmsj/88318831

Zhiwei Zheng, Yiming Zhong

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引用次数: 0

摘要

我们从Deligne-Mostow理论和K3曲面的周期两个角度研究了奇异性为3的某些六次曲线的模空间。在这两种方法中，我们都可以通过复双曲球的算术商来描述模空间。我们在定理7.4中证明了两个球商结构可以以几何方式统一。

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The complex ball-quotient structure of the moduli space of certain sextic curves

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.

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