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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