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Holomorphic actions, Kummer examples, and Zimmer Program
- Publication Year :
- 2010
-
Abstract
- We classify compact K\"ahler 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.<br />Comment: 35 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1011.4768
- Document Type :
- Working Paper