{ "id": "1412.1483", "version": "v1", "published": "2014-12-03T21:00:42.000Z", "updated": "2014-12-03T21:00:42.000Z", "title": "On the fundamental groups of normal varieties", "authors": [ "Donu Arapura", "Alexandru Dimca", "Richard Hain" ], "categories": [ "math.AG", "math.AT" ], "abstract": "We show that the fundamental groups of normal complex algebraic varieties share many properties of the fundamental groups of smooth varieties. The jump loci of rank one local systems on a normal variety are related to the jump loci of a resolution and of a smoothing of this variety.", "revisions": [ { "version": "v1", "updated": "2014-12-03T21:00:42.000Z" } ], "analyses": { "keywords": [ "fundamental groups", "normal variety", "normal complex algebraic varieties share", "jump loci", "smooth varieties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.1483A" } } }