3 papers
math.AG2026
Completion of two-parameter period maps by nilpotent orbits
Haohua Deng, Colleen Robles
We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds, and the map onto the image is a morphism of compact algebraic s…
math.AG2025
On the generalized toroidal completion of period mappings
Haohua Deng, Jacob Tsimerman
Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of M…
math.AG2024
On the generic degree of two-parameter period mappings
Chongyao Chen, Haohua Deng
We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three per…