Smooth Families of Tori and Linear K\"ahler Groups
Algebraic Geometry
2016-10-26 v2
Abstract
That short note, meant as an addendum to [CCE14], enhances the results contained in loc. cit. In particular it is proven here that a linear K{\"a}hler group is already the fundamental group of a smooth complex projective variety. This is achieved by studying the relative deformation of the total space of a smooth family of tori in an equivariant context.
Keywords
Cite
@article{arxiv.1604.03367,
title = {Smooth Families of Tori and Linear K\"ahler Groups},
author = {Benoît Claudon},
journal= {arXiv preprint arXiv:1604.03367},
year = {2016}
}
Comments
A flaw in the previous version. The main theorem is now stated for smooth families of tori with compact base. It does not affect the application to linear K{\"a}hler groups. To appear in Annales de la Facult{\'e} des Sciences de Toulouse