A splitting criterion for two-dimensional semi-tori.
How frequent are discrete cyclic subgroups of semisimple Lie groups?
Realizing countable groups as automorphism groups of Riemann surfaces.
On tameness and growth conditions.
Complex analytic geometry of complex parallelizable manifolds
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
Invariant hyperbolic Stein domains.
On free holomorphic C-actions on Cn and homogeneous Stein manifolds.
On Automorphisms of Complements of Analytic Subsets in Cn.
On Brody and entire curves
We discuss an example of an open subset of a torus which admits a dense entire curve, but no dense Brody curve.
On compact orbits in singular Kähler spaces
For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.
Degeneracy of entire curves in log surfaces with
We determine which algebraic surface of logarithmic irregularity admit an algebraically non-degenerate entire curve.
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
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