Holomorphic actions, Kummer examples, and Zimmer Program

Serge Cantat; Abdelghani Zeghib

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arXiv · 1011.4768

Holomorphic actions, Kummer examples, and Zimmer Program

Serge Cantat·Abdelghani Zeghib

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Abstract

We classify compact Kähler manifolds $M$ of dimension $n\geq 3$ on which acts a lattice of an almost simple real Lie group of rank $\geq n-1$. This provides a new line in the so-called Zimmer program, and characterizes certain type of complex tori by a property of their automorphisms groups.

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BibTeX RIS

Serge Cantat, Abdelghani Zeghib. 2010-11-22. Holomorphic actions, Kummer examples, and Zimmer Program. https://arxiv.org/abs/1011.4768

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