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A characterization of compact complex tori via automorphism groups

Baohua FU AMSS, Chinese Academy of Sciences De-Qi Zhang NUS

mathscidoc:1702.01007

Math. Ann., 2013
We show that a compact Kaehler manifold X is a complex torus if both the continuous part and discrete part of some automorphism group G of X are infinite groups, unless X is bimeromorphic to a non-trivial G-equivariant fibration. Some applications to dynamics are given.
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@inproceedings{baohua2013a,
  title={A characterization of compact complex tori via automorphism groups },
  author={Baohua FU, and De-Qi Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210114916465819426},
  booktitle={Math. Ann.},
  year={2013},
}
Baohua FU, and De-Qi Zhang. A characterization of compact complex tori via automorphism groups . 2013. In Math. Ann.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170210114916465819426.
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