Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Martino Fassina; Yifei Pan; Yuan Zhang

Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Complex Variables 2026-07-12 v1

Authors: Martino Fassina , Yifei Pan , Yuan Zhang

Abstract

We construct smoothly bounded pseudoconvex or convex domains in $\mathbb{C}^n$ whose weakly pseudoconvex loci realize prescribed closed sets.

Keywords

bounded pseudoconvex domains weakly pseudoconvex loci D'Angelo type convex domains complex analysis

Cite

@article{arxiv.2607.10785,
  title  = {Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci},
  author = {Martino Fassina and Yifei Pan and Yuan Zhang},
  journal= {arXiv preprint arXiv:2607.10785},
  year   = {2026}
}

Comments

43 pages, 1 figure