Moduli spaces as ball quotients I, local theory

2018/10/25 by Kefeng Liu, Yang Shen, Liu, Kefeng +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1810.10892

openalex publication_date 2018/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a Hodge theoretic criterion to characterize locally the period domains of certain projective manifolds to be complex balls.

Related

• The Complex Ball-quotient Structure of the Moduli Space of Certain Sextic Curves
• Complex ball quotients from manifolds of K3^[n]-type
• Hurwitz Spaces and Moduli Spaces as Ball Quotients via Pull-back
• Moduli spaces of K3 surfaces and complex ball quotients
• A note on period domains of Hodge structures