2 papers
math.CV2025
The pluricomplex Poisson kernel for convex finite type domains
Leandro Arosio, Filippo Bracci, Matteo Fiacchi
Given a bounded convex domain of finite D'Angelo type and a boundary point , we prove that the homogeneous complex Monge-Ampère equation $(d…
math.SG2025
Hyperbolic contact symplectic lifts
Filippo Bracci, Benjamin McKay, Riccardo Ugolini
Consider a holomorphic contact manifold. Holomorphic discs tangent to the contact planes define a pseudometric on the manifold. This pseudometric integrates to a pseudodistance. Wh…