{ "id": "1912.09266", "version": "v1", "published": "2019-12-18T13:06:12.000Z", "updated": "2019-12-18T13:06:12.000Z", "title": "Freeness for multiarrangements of hyperplanes over arbitrary fields", "authors": [ "Michele Torielli" ], "comment": "arXiv admin note: text overlap with arXiv:1803.09908", "categories": [ "math.AG", "math.CO" ], "abstract": "In this paper, we study the class of free multiarrangements of hyperplanes. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness over the rationals.", "revisions": [ { "version": "v1", "updated": "2019-12-18T13:06:12.000Z" } ], "analyses": { "keywords": [ "arbitrary fields", "hyperplanes", "free multiarrangements", "finite characteristic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }