3 papers
math.CV2026
Hulls and boundaries in
Stefan Nemirovski, Josias Reppekus, Nikolay Shcherbina
The paper is concerned with the boundary behaviour of polynomially and rationally convex hulls in pseudoconvex domains in . As an application, it is shown that every…
math.CV2025
Foliations of continuous q-pseudoconcave graphs
Thomas Pawlaschyk, Nikolay Shcherbina
We show that for the graph of a continuous mapping , defined on a domain in , is locally foli…
math.CV2025
On compact sets possessing -convex functions
Thomas Pawlaschyk, Nikolay Shcherbina
We show that there exists a -convex function in a neighborhood of a compact set in a complex manifold if and only if the -nucleus of this compact set is emp…