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math.AG2024
Commensurability Among Deligne-Mostow Monodromy Groups
Chenglong Yu, Zhiwei Zheng
This paper gives the commensurability classification of Deligne--Mostow ball quotients and shows that the 104 Deligne--Mostow lattices form 38 commensurability classes. First, we f…
math.AG2024
Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces
Adriana Salerno, Ursula Whitcher, Chenglong Yu
We use arithmetic and Hodge-theoretic techniques to study pencils of Calabi-Yau varieties realized as highly symmetric hypersurfaces in Grassmannians and their quotients, demonstra…
math.AG2024
Calabi-Yau Varieties via Cyclic Covers, and Complex Hyperbolic Structures for their Moduli Spaces
Chenglong Yu, Zhiwei Zheng
In this paper we mainly study Calabi--Yau varieties that arise as triple covers of products of projective lines branched along simple normal crossing divisors. For some of those fa…