# Complex Analytic Geometry of Complex Parallelizable
Manifolds

## Memoirs Soc. Math. France **72/73**. 1998

### Jörg Winkelmann

(ISBN: 2-85629-070-1)
Abstract.

Quotients of Complex Lie groups by discrete subgroups are studied
as complex manifolds. In particular, holo- and meromorphic
functions, subvarieties,
deformations, cohomology and
vector bundles are investigated.
This book is an expanded and revised version of my
Habilitationsschrift .
Many results have been generalized
from the special case of cocompact
lattices to arbitrary lattices.
Furthermore, some preparational and background
material has been added.
A survey on the results is given in an
article
in the proceedings of Geometric Complex Analysis.

### Corrections, Misprints, Remarks and Annotations

On p.38, Remark 3.6.4 states without proof that a lattice
in a nilpotent locally compact topological group is
necessarily cocompact. I have been asked about the proof,
which is available
here.
The remark on K3-surfaces on page 129 needs some
clarification .

### Related later articles

On Complex Analytic Compactifications of Complex Parallelizable Manifolds
(2000)

On Elliptic Curves in SL2(C)/Gamma, Schanuel's conjecture and geodesic lengths.
(2002)

On Varieties with trivial logarithmic tangent bundle.

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