Homomorphisms between fundamental groups of Kähler manifolds

Details Homomorphisms between fundamental groups of Kähler manifolds Homomorphisms between fundamental groups of Kähler manifolds

2009-10-28

arxiv.org/abs/0910.5523v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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.

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