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Bibliographic Details
Main Authors: Calamai, Simone, Dall'Ara, Gian Maria
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.08736
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Table of Contents:
  • 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 $\overline\partial$-Neumann problem are discussed in the setting of these domains.