Homomorphisms between fundamental groups of Kähler manifolds
arXiv:0910.5523
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.
arXiv comment6 pages