Homomorphisms between fundamental groups of K\"ahler manifolds
Algebraic Geometry
2010-10-26 v2 Differential Geometry
Abstract
A group morphism is constructed, which can be realized as the induced morphism of fundamental groups from a holomorphic map between compact Kahler manifolds, but can not be realized by a holomorphic map between smooth projective varieties. And it is also proved that there exists no such example between abelian groups.
Keywords
Cite
@article{arxiv.0910.5523,
title = {Homomorphisms between fundamental groups of K\"ahler manifolds},
author = {Botong Wang},
journal= {arXiv preprint arXiv:0910.5523},
year = {2010}
}
Comments
6 pages