Deformation in the large of some complex manifolds, II

Details Deformation in the large of some complex manifolds, II Deformation in the large of some complex manifolds, II

2005-07-25

arxiv.org/abs/math/0507508v1

Mathematics

Complex Variables

23 pages, to appear in the AMS Series 'Contemporary Mathematics',in the Proceedings of the 10th anniversary (2004) Conference

Scientific paper

The compact complex manifolds considered in this article are principal torus bundles over a torus. We consider the Kodaira Spencer map of the complete Appell Humbert family (introduced by the first author in Part I) and are able to show that we obtain in this way a connected component of the space of complex structures each time that the base dimension is two, the fibre dimension is one, and a suitable topological condition is verified.

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