Geometry of nilmanifolds with left-invariant complex structure and deformations in the large

Details Geometry of nilmanifolds with left-invariant complex structure and deformations in the large Geometry of nilmanifolds with left-invariant complex structure and deformations in the large

2009-01-20

arxiv.org/abs/0901.3120v1

Proc. London Math. Soc., 99, 425-460, 2009,

Mathematics

Algebraic Geometry

40 pages, revised version of the second part of arXiv:0709.0467v1. To appear in Proc. LMS

Scientific paper

10.1112/plms/pdp001

The relation between nilmanifolds with left-invariant complex structure and
iterated principal holomorphic torus bundles is clarified and we give criteria
under which deformations in the large are again of such type. As an application
we obtain a fairly complete picture in complex dimension three.

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