Holomorphic actions of higher rank lattices in dimension three

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.

arXiv comment55 pages

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Cited by in corpus (3)

• Compact Kähler manifolds with automorphism groups of maximal rank
• Automorphism groups of positive entropy on projective threefolds
• Algebraic varieties with automorphism groups of maximal rank