3 papers
math.AG2026
Picard groups of completed period images and the Deng-Robles problem
Badre Mounda, Dongzhe Zheng
A basic problem in the geometry of degenerating period maps is to determine whether their completed images admit an intrinsic algebraic description. For polarized variations of Hod…
math.AG2025
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations
Badre Mounda
We give a constructive proof of the Hodge conjecture for complex surfaces that does not rely on Torelli-type results. Starting with an arbitrary rational -class $α\in…
math.AG2025
Weak Fan Structures for Two-Parameter Degenerations of K3 Surfaces
Badre Mounda
In this note, we provide an explicit computation of the weak fan associated with a two-parameter degeneration of K3 surfaces. This example serves as a concrete illustration of the…