Automorphisms of the Worm Domain
Complex Variables
2025-11-14 v1
Abstract
The Diederich-Forn{\ae}ss worm domain, an important example of a smoothly bounded pseudoconvex domain without a Stein neighborhood basis, provides key counterexamples in the theory of Several Complex Variables. In this paper, we examine its automorphism group and observe that its boundary is locally spherical everywhere except at the exceptional locus and the caps.
Keywords
Cite
@article{arxiv.2511.10614,
title = {Automorphisms of the Worm Domain},
author = {Fani Xerakia},
journal= {arXiv preprint arXiv:2511.10614},
year = {2025}
}