3 papers
math.AG2026
On the distribution of mixed Hodge loci
Nazim Khelifa
Let be an admissible and graded-polarized integral variation of mixed Hodge structures over a smooth and irreducible complex algebraic variety . We show that if the…
math.AG2024
Global variations of Hodge structures of maximal dimension
Nazim Khelifa
We derive a new bound on the dimension of images of period maps of global pure polarized integral variations of Hodge structures with generic Hodge datum of level at least 3. When…
math.AG2024
Existence and density of typical Hodge loci
Nazim Khelifa, David Urbanik
Motivated by a question of Baldi-Klingler-Ullmo, we provide a general sufficient criterion for the existence and analytic density of typical Hodge loci associated to a polarizable…