arXiv:0910.5523 Abstract | arXiv Analytics

arXiv:0910.5523 [math.AG]Abstract References Reviews Resources

Homomorphisms between fundamental groups of Kähler manifolds

Published 2009-10-28, updated 2010-10-23Version 2

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.

Comments: 6 pages

Categories: math.AG, math.DG

Keywords: fundamental groups, kähler manifolds, homomorphisms, holomorphic map, compact kahler manifolds

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