{ "id": "1111.0412", "version": "v1", "published": "2011-11-02T07:46:42.000Z", "updated": "2011-11-02T07:46:42.000Z", "title": "The moduli space of Hessian quartic surfaces and automorphic forms", "authors": [ "Shigeyuki Kondo" ], "comment": "10 pages", "categories": [ "math.AG" ], "abstract": "We shall show the existence of 15 automorphic forms of weight 8 on the moduli space of marked Hessian quartic surfaces of cubic surfaces. These automorphic forms can be interpreted in terms of the coefficients of the Sylvester form of a general cubic surface.", "revisions": [ { "version": "v1", "updated": "2011-11-02T07:46:42.000Z" } ], "analyses": { "keywords": [ "automorphic forms", "moduli space", "marked hessian quartic surfaces", "general cubic surface", "sylvester form" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.0412K" } } }