Complex Analytic Geometry of Complex Parallelizable
Memoirs Soc. Math. France 72/73. 1998
Quotients of Complex Lie groups by discrete subgroups are studied
as complex manifolds. In particular, holo- and meromorphic
deformations, cohomology and
vector bundles are investigated.
This book is an expanded and revised version of my
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
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
The remark on K3-surfaces on page 129 needs some
Related later articles
On Complex Analytic Compactifications of Complex Parallelizable Manifolds
On Elliptic Curves in SL2(C)/Gamma, Schanuel's conjecture and geodesic lengths.
On Varieties with trivial logarithmic tangent bundle.
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