English

On quotients of bounded homogeneous domains by unipotent discrete groups

Complex Variables 2026-03-12 v2

Abstract

We show that the quotient of any bounded homogeneous domain by a unipotent discrete group of automorphisms is holomorphically separable. Then we give a necessary condition for the quotient to be Stein and prove that in some cases this condition is also sufficient.

Keywords

Cite

@article{arxiv.2202.10283,
  title  = {On quotients of bounded homogeneous domains by unipotent discrete groups},
  author = {Christian Miebach},
  journal= {arXiv preprint arXiv:2202.10283},
  year   = {2026}
}

Comments

17 pages; minor mistakes corrected; references added; to appear in the Annali della Scuola Normale Superiore di Pisa, Classe di Scienze