2 papers
math.CV2026
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 $…
math.SG2026
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…