3 papers
math.AG2025
Adiabatic Limit and Deformations of Complex Structures
Dan Popovici
Based on our recent adaptation of the adiabatic limit construction to the case of complex structures, we prove the fact that the deformation limiting manifold of any holomorphic fa…
math.DG2025
Partially Hyperbolic Compact Complex Manifolds
Hisashi Kasuya, Dan Popovici
We propose and investigate two types, the latter with two variants, of notions of partial hyperbolicity accounting for several classes of compact complex manifolds behaving hyperbo…
math.DG2024
Twisted Adiabatic Limit for Complex Structures
Dan Popovici
Given a complex manifold and a smooth positive function thereon, we perturb the standard differential operator acting on differential forms to…