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

TL;DR

This paper characterizes the Bieri-Neumann-Strebel invariant of Kähler groups and shows that solvable Kähler fundamental groups are virtually nilpotent, linking geometric properties to algebraic invariants.

Contribution

It provides a detailed description of the BNS invariant for Kähler groups and establishes a new algebraic property for solvable Kähler fundamental groups.

Findings

BNS invariant of Kähler groups is explicitly described

Solvable Kähler groups are virtually nilpotent

Connects geometric group properties with algebraic invariants

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.