{ "id": "1708.06559", "version": "v1", "published": "2017-08-22T11:01:10.000Z", "updated": "2017-08-22T11:01:10.000Z", "title": "Complete descriptions of the tautological rings of the moduli spaces of curves of genus lower or equal to 4 with marked points", "authors": [ "Malick Camara" ], "categories": [ "math.AG" ], "abstract": "We study here the tautological rings of the moduli spaces of compact Riemann surfaces of genus 1,2,3 and 4 with marked points. The paper presents the complete descriptions of these rings by describing the groups of all degrees.", "revisions": [ { "version": "v1", "updated": "2017-08-22T11:01:10.000Z" } ], "analyses": { "keywords": [ "moduli spaces", "complete descriptions", "tautological rings", "marked points", "genus lower" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }