4 citations · 4 across the 5 of their papers we have counts for
6 papers
Monge-Ampère exhaustions of almost homogeneous manifolds
Morris Kalka, Giorgio Patrizio, Andrea Spiro
We consider three fundamental classes of compact almost homogeneous manifolds and show that the complements of singular complex orbits in such manifolds are endowed with plurisubha…
Splitting Parabolic Manifolds
Morris Kalka, Giorgio Patrizio
We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Ampère type of condition. The results are applied to charact…
Locally Monge-Ampere Foliations
Morris Kalka, Giorgio Patrizio
It is shown that codimension one parabolic foliations of complex manifolds are holomorphic. This is proved using the fact that codimension one foliations of complex manifolds are n…
Monge-Ampere foliations for degenerate solutions
Morris Kalka, Giorgio Patrizio
We study the problem of the existence and the holomorphicity of the Monge-Ampère foliation associated to a plurisubharmonic solutions of the complex homogeneous Monge-Ampère equati…
Finite Type Monge-Ampère Foliations
Morris Kalka, Giorgio Patrizio
In this paper we extend our previous work on singularities of Monge-Ampère foliations to the case of pseudoconvex finite type domains. We are able to answer the questin of Burns on…
Singular Monge-Ampere foliations
Tom Duchamp, Morris Kalka
This replaces the previous version, by correcting an error in the proof of Theorem 1.4, that was pointed out by the referee.