{ "id": "2101.12264", "version": "v1", "published": "2021-01-28T20:23:40.000Z", "updated": "2021-01-28T20:23:40.000Z", "title": "On the Kodaira dimension of Hurwitz spaces", "authors": [ "Gavril Farkas" ], "comment": "13 pages", "categories": [ "math.AG" ], "abstract": "We show that with very few exceptions, the canonical bundle of all compact Hurwitz spaces classifying covers of degree k>2 of the projective line is big.", "revisions": [ { "version": "v1", "updated": "2021-01-28T20:23:40.000Z" } ], "analyses": { "keywords": [ "kodaira dimension", "compact hurwitz spaces classifying covers", "canonical bundle", "exceptions", "projective line" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }