Which 3-manifold groups are Kähler groups?

DOI10.4171/JEMS/158zbMath1217.57011arXiv0709.4350MaRDI QIDQ1024256

Alexander I. Suciu, Alexandru Dimca

Publication date: 16 June 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4350

zbMATH Keywords

Kähler manifoldfundamental group3-manifoldcohomology ringresonance varietyisotropic subspace

Mathematics Subject Classification ID

Related Items (11)

Topology and geometry of cohomology jump loci ⋮ Book Review: Topology of algebraic curves. An approach via dessins d’enfants ⋮ Abelian duality and propagation of resonance ⋮ Formality and finiteness in rational homotopy theory ⋮ Kähler groups and subdirect products of surface groups ⋮ Quasi-Kähler groups, 3-manifold groups, and formality ⋮ Three-manifolds and Kähler groups ⋮ Solving the isomorphism problems for two families of parafree groups ⋮ Poincaré duality and resonance varieties ⋮ Cohomology jump loci of 3-manifolds ⋮ Complements to Ample Divisors and Singularities

Cites Work

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• Trees, valuations and the Green-Lazarsfeld set.
• Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville
• Real homotopy theory of Kähler manifolds
• Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Fibred surfaces, varieties isogenous to a product and related moduli spaces

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