English

Holomorphic actions of higher rank lattices in dimension three

Algebraic Geometry 2009-09-09 v1 Differential Geometry Dynamical Systems

Abstract

We classify all holomorphic actions of higher rank lattices on compact Kaehler manifolds of dimension 3. This provides a complete answer to Zimmer's program for holomorphic actions on compact Kaehler manifolds of dimension at most 3.

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Cite

@article{arxiv.0909.1406,
  title  = {Holomorphic actions of higher rank lattices in dimension three},
  author = {Serge Cantat and Abdelghani Zeghib},
  journal= {arXiv preprint arXiv:0909.1406},
  year   = {2009}
}

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55 pages