Mathematics – Algebraic Geometry
Scientific paper
2010-11-22
Mathematics
Algebraic Geometry
35 pages
Scientific paper
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.
Cantat Serge
Zeghib Abdelghani
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