7 papers
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 $…
The polynomially convex embedding dimension of real manifolds of dimension
Leandro Arosio, HÃ¥kan Samuelsson Kalm, Erlend F. Wold
We show that any compact smooth real -dimensional manifold with can be smoothly embedded into as a polynomially convex set. In general, there i…
Polynomial convexity of -flat perturbations of totally real sets
Leandro Arosio, HÃ¥kan Samuelsson Kalm, Erlend F. Wold
We show that if is a totally real -dimensional manifold attached to a polynomially convex compact set in , , then there are arbitrarily small perturba…
The Julia-Wolff-Carathéodory theorem in convex finite type domains
Leandro Arosio, Matteo Fiacchi
Rudin's version of the classical Julia-Wolff-Carathéodory theorem is a cornerstone of holomorphic function theory in the unit ball of . In this paper we obtain a com…
Generic conservative dynamics on Stein manifolds with the volume density property
Leandro Arosio, Finnur Larusson
We study the dynamics of generic volume-preserving automorphisms of a Stein manifold of dimension at least 2 with the volume density property. Among such are all connec…
Dynamics of generic automorphisms of Stein manifolds with the density property
Leandro Arosio, Finnur Larusson
We study the dynamics of a generic automorphism of a Stein manifold with the density property. Such manifolds include all linear algebraic groups. Even in the special case of $…