3 papers
math.GT2026
Commensurability Relations Between Deligne-Mostow-Thurston and Ghazouani-Pirio Monodromy Groups
Chenglong Yu, Yiming Zhong
We classify commensurability relations between Deligne--Mostow--Thurston monodromy groups and the sixteen arithmetic Ghazouani--Pirio monodromy groups arising from moduli of flat c…
math.AG2025
Moduli spaces of sextic curves with simple singularities and their compactifications
Chenglong Yu, Zhiwei Zheng, Yiming Zhong
In this paper, we study moduli spaces of sextic curves with simple singularities. Through period maps of K3 surfaces with ADE singularities, we prove that such moduli spaces admit…
math.AG2021
The Complex Ball-quotient Structure of the Moduli Space of Certain Sextic Curves
Zhiwei Zheng, Yiming Zhong
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…