Real structures on torus bundles and their deformations
复变函数
2007-05-23 v1 代数几何
摘要
We describe the family of real structures on principal holomorphic torus bundles over tori, and prove its connectedness when the complex dimension is at most three. From this and previous results of the authors follows that the differentiable type (more precisely, the orbifold fundamental group) determines the deformation type of the pair provided we have complex dimension at most three, fibre dimension one, and a certain 'reality' condition on the fundamental group is satisfied.
引用
@article{arxiv.math/0601108,
title = {Real structures on torus bundles and their deformations},
author = {Fabrizio Catanese and Paola Frediani},
journal= {arXiv preprint arXiv:math/0601108},
year = {2007}
}
备注
26 pages, to appear in the Proceedings for 10th anniversary (2004) conference of the East China Normal University (Shanghai), published by AMS and Int. Press