{ "id": "2003.13206", "version": "v1", "published": "2020-03-30T03:45:47.000Z", "updated": "2020-03-30T03:45:47.000Z", "title": "Subadditivity of Kodaira dimension does not hold in positive characteristic", "authors": [ "Paolo Cascini", "Sho Ejiri", "Lei Zhang" ], "comment": "11 pages", "categories": [ "math.AG" ], "abstract": "Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.", "revisions": [ { "version": "v1", "updated": "2020-03-30T03:45:47.000Z" } ], "analyses": { "subjects": [ "14D06", "14E30" ], "keywords": [ "kodaira dimension", "positive characteristic", "construct examples", "fibrations violating subadditivity" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }