Aspherical Kähler manifolds with solvable fundamental group

DOI10.1007/s10711-006-9089-5zbMath1128.53043arXivmath/0601616OpenAlexW2017188008MaRDI QIDQ881921

Oliver Baues, Vicente Cortés

Publication date: 18 May 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601616

zbMATH Keywords

Kähler manifoldsolvable groupsaspherical manifoldsKähler groupAlbanese torusBenson-Gordon conjecture

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Quasivarieties and varieties of groups (20E10)

Related Items (12)

Formality and hard Lefschetz property of aspherical manifolds ⋮ Locally homogeneous aspherical Sasaki manifolds ⋮ Hypercomplex almost abelian solvmanifolds ⋮ Unnamed Item ⋮ Some results on cosymplectic manifolds ⋮ On the structure of co-Kähler manifolds ⋮ Transverse Kähler structures on central foliations of complex manifolds ⋮ Symplectic Lie algebras with degenerate center ⋮ Virtually abelian Kähler and projective groups ⋮ Exotic smooth structures and symplectic forms on closed manifolds ⋮ Perverse sheaves on semi-abelian varieties ⋮ On the holomorphic torus-Bott tower of aspherical manifolds

Cites Work

• Unnamed Item
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• On the fundamental group of a homogeneous space
• On a special class of fibrations and Kähler rigidity
• Complex and Kähler structures on compact solvmanifolds
• The Bieri-Neumann-Strebel invariant of fundamental groups of Kähler manifolds
• The fundamental conjecture for homogeneous Kähler manifolds
• Kähler and symplectic structures on nilmanifolds
• Real homotopy theory of Kähler manifolds
• Curvatures of left invariant metrics on Lie groups
• Solvable quotients of Kähler groups
• Rigidity of group actions on solvable Lie groups
• Lattices on Benson-Gordon type solvable Lie groups
• A class of compact Kählerian solvmanifolds and a general conjecture
• Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
• Quadratic presentations and nilpotent Kähler groups
• A note on compact solvmanifolds with Kähler structures
• Guppen mit Poincaré-Dualität
• Factor spaces of solvable groups
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Kahler Structures on Compact Solvmanifolds
• Minimal Models of Nilmanifolds
• Sur les variétés analytiques complexes
• Intégration sur un ensemble analytique complexe
• On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
• Annulation du H1 et systèmes paracanoniques sur les surfaces.
• Solvable fundamental groups of algebraic varieties and K\"ahler manifolds
• Subspaces of moduli spaces of rank one local systems
• Geometry of cohomology support loci for local systems I
• DEFORMATIONS OF KODAIRA MANIFOLDS
• Remarques sur les groupes de Kähler nilpotents
• FAKE TORI, THE ANNULUS CONJECTURE, AND THE CONJECTURES OF KIRBY
• On Homotopy Tori II
• Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory
• Symplectic manifolds with no Kähler structure
• Dolbeault cohomology of compact nilmanifolds

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