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arxiv: 0909.1406 · v1 · submitted 2009-09-08 · 🧮 math.AG · math.DG· math.DS

Holomorphic actions of higher rank lattices in dimension three

classification 🧮 math.AG math.DGmath.DS
keywords actionsdimensionholomorphiccompacthigherkaehlerlatticesmanifolds
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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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