Examples of Fundamental Groups of Compact Kähler Manifolds

DOI10.1112/blms/22.4.339zbMath0711.57024OpenAlexW2083254017MaRDI QIDQ3496941

Domingo Toledo

Publication date: 1990

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/22.4.339

zbMATH Keywords

Poincaré duality groupfundamental groups of compact aspherical Kähler manifoldsfundamental groups of compact Kähler manifoldsfundamental groups of smooth projective varietiesgroups of odd cohomological dimensiontorsion-free lattice in SU(n,1)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (10)

Quadratic presentations and nilpotent Kähler groups ⋮ Harmonic maps from compact Kähler manifolds to exceptional hyperbolic spaces ⋮ Homotopical height ⋮ Toward the structure of fibered fundamental groups of projective varieties ⋮ Three-manifolds and Kähler groups ⋮ Non-finiteness properties of fundamental groups of smooth projective varieties ⋮ Residually finite lattices in \(\widetilde{\mathrm{PU}(2,1)}\) and fundamental groups of smooth projective surfaces ⋮ On the Dehn functions of Kähler groups ⋮ VIRTUAL ALGEBRAIC FIBRATIONS OF KÄHLER GROUPS ⋮ Projective varieties with non-residually finite fundamental group

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