On quotients of bounded homogeneous domains by unipotent discrete groups

Christian Miebach (1)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

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.

Domaines: Variables complexes [math.CV]

Christian Miebach. On quotients of bounded homogeneous domains by unipotent discrete groups. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, In press, ⟨10.2422/2036-2145.202202_018⟩. ⟨hal-03583099v2⟩