4 papers · 1 filter
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…
Monodromy Eigenvalues of Milnor Fibers for Line Arrangements
Baiting Xie, Chenglong Yu, Zhiwei Zheng
It is an important problem to know whether the monodromy on the cohomology of Milnor fibers associated to hyperplane arrangements is a combinatorial invariant. In this paper, we ob…
Double integrals and transformation formulas for Appell--Lauricella hypergeometric functions
Shihao Wang, Chenglong Yu, Zhiwei Zheng
The monodromy of hypergeometric functions can govern the properties of the functions themselves. Previously, the second and third authors studied the commensurability relations amo…
Rigidity Criterion for Certain Calabi-Yau Families
Ruiran Sun, Chenglong Yu, Kang Zuo
We prove a new rigidity criterion for families of polarized Calabi--Yau manifolds. If, near a boundary point, the total space is smooth, the relative canonical bundle is trivial, a…