10 citations · 48 across the 15 of their papers we have counts for
17 papers
The Levi problem over generalized Hirzebruch manifolds
S. Ivashkovych, C. Miebach, V. Shevchishin
We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by sol…
Momentum maps and the Kähler property for base spaces of reductive principal bundles
Daniel Greb, Christian Miebach
We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base,…
On quotients of bounded homogeneous domains by unipotent discrete groups
Christian Miebach
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…
Compact complex non-K{ä}hler manifolds associated with totally real reciprocal units
Christian Miebach, Karl Oeljeklaus
Using the theory of totally real number fields we construct a new class of compact complex non-K{ä}hler manifolds in every even complex dimension and study their analytic and geome…
Hamiltonian actions of unipotent groups on compact Kähler manifolds
Daniel Greb, Christian Miebach
We study meromorphic actions of unipotent complex Lie groups on compact Kähler manifolds using moment map techniques. We introduce natural stability conditions and show that sets o…
Schottky groups acting on homogeneous rational manifolds
Christian Miebach, Karl Oeljeklaus
We systematically study Schottky group actions on homogeneous rational manifolds and find two new families besides those given by Nori's well-known construction. This yields new ex…