{ "id": "2003.01689", "version": "v1", "published": "2020-03-03T18:14:20.000Z", "updated": "2020-03-03T18:14:20.000Z", "title": "A short note on Main-Mumford", "authors": [ "Harry Schmidt" ], "categories": [ "math.NT", "math.AG" ], "abstract": "We give a short proof of Manin-Mumford in the multiplicative group based on the pigeon-hole principle and the so-called structure theorem for anomalous subvarieties. The arguments appear to be new and perhaps applicable in other situations.", "revisions": [ { "version": "v1", "updated": "2020-03-03T18:14:20.000Z" } ], "analyses": { "subjects": [ "11G99", "11F23" ], "keywords": [ "short note", "main-mumford", "short proof", "arguments appear", "structure theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }