{ "id": "0910.5523", "version": "v2", "published": "2009-10-28T23:47:14.000Z", "updated": "2010-10-23T02:34:14.000Z", "title": "Homomorphisms between fundamental groups of Kähler manifolds", "authors": [ "Botong Wang" ], "comment": "6 pages", "categories": [ "math.AG", "math.DG" ], "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.", "revisions": [ { "version": "v2", "updated": "2010-10-23T02:34:14.000Z" } ], "analyses": { "keywords": [ "fundamental groups", "kähler manifolds", "homomorphisms", "holomorphic map", "compact kahler manifolds" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.5523W" } } }