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.

55 pages

References in corpus (3)

• Groups acting on manifolds: around the Zimmer program
• Propriétés ergodiques des applications rationnelles
• A remark on the Hard Lefschetz Theorem for Kähler orbifolds