L'invariant de Bieri Neumann Strebel des groupes fondamentaux des varietes kaehleriennes

2006/03/02 by Thomas Delzant, Delzant, Thomas
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/0603038

arxiv created 2006/03/02 · openalex publication_date 2006/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the BNS invariant of Kaehler groups. As an application we prove that if the fundamental group of a Kaehler manifold is solvable, it is virtually nilpotent.

Related

• Quotients resolubles ou nilpotents des groupes de Kaehler orbifoldes
• The applications of Bieri-Neumann-Strebel invariant on Kähler groups
• Solvable fundamental groups of algebraic varieties and Kähler manifolds
• The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups
• Geometric structures on Lie groups with flat bi-invariant metric