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20072026
most citedQuotients of bounded homogeneous domains by cyclic groups

10 citations · 48 across the 15 of their papers we have counts for

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12 papers · 1 filter

math.CV2026

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…

math.CV2022★ 1 cited

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…

math.CV2018★ 1 cited

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…

math.CV2015★ 2 cited

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…

math.CV2013★ 7 cited

Pseudoconvex non-Stein domains in primary Hopf surfaces

Christian Miebach

We describe pseudoconvex non-Stein domains in primary Hopf surfaces using techniques developed by Hirschowitz.

math.CV2012★ 6 cited

Pseudoconvex domains spread over complex homogeneous manifolds

Bruce Gilligan, Christian Miebach, Karl Oeljeklaus

Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain…