2024/10/11 by Calamai, Simone, Dall'Ara, Gian Maria
#32T20 #32W05 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2410.08736
We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codimension and D'Angelo class (a cohomological invariant measuring the "winding" of the boundary of the domain around the submanifold). Some open questions in the regularity theory of the ∂-Neumann problem are discussed in the setting of these domains.