{ "id": "1409.1345", "version": "v1", "published": "2014-09-04T07:29:48.000Z", "updated": "2014-09-04T07:29:48.000Z", "title": "Embedding problems for open subgroups of the fundamental group", "authors": [ "Manish Kumar" ], "comment": "20 pages, comments are welcome", "categories": [ "math.AG", "math.NT" ], "abstract": "Let $C$ be a smooth irreducible affine curve $C$ over an algebraically closed field of positive characteristic and let $\\pi_1(C)$ be its fundamental group. We study various embedding problems for $\\pi_1(C)$ and its subgroups.", "revisions": [ { "version": "v1", "updated": "2014-09-04T07:29:48.000Z" } ], "analyses": { "subjects": [ "14H30" ], "keywords": [ "fundamental group", "embedding problems", "open subgroups", "smooth irreducible affine curve", "algebraically closed field" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.1345K" } } }