Quasiprojective three-manifold groups and complexification of three-manifolds

Abstract

We characterize the quasiprojective groups that appear as fundamental groups of compact $3$-manifolds (with or without boundary). We also characterize all closed $3$-manifolds that admit good complexifications. These answer questions of Friedl--Suciu, \cite{fs}, and Totaro \cite{tot}

Final version (to appear in IMRN)

References in corpus (4)

• Homotopical Height
• Kaehler groups, quasi-projective groups, and 3-manifold groups
• Kaehlerian three-manifold groups
• One-relator Kaehler groups

Cited by in corpus (2)

• Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links
• Real affine varieties of nonnegative curvature