{ "id": "1703.08056", "version": "v1", "published": "2017-03-23T13:08:53.000Z", "updated": "2017-03-23T13:08:53.000Z", "title": "Progress on syzygies of algebraic curves", "authors": [ "Gavril Farkas" ], "comment": "23 pages, to appear in the Proceedings of the CIMPA-CIMAT-ICTP School on Moduli of Curves, 2016 (Lecture Notes in Mathematics)", "categories": [ "math.AG", "math.AC" ], "abstract": "These lectures discuss recent advances on syzygies on algebraic curves, especially concerning the Green, the Prym-Green and the Green-Lazarsfeld Secant Conjectures. The methods used are largely geometric and variational, with a special emphasis on examples and explicit calculations. The notes are based on series of lectures given in Daejeon (March 2013), Rome (November-December 2015) and Guanajuato (February 2016).", "revisions": [ { "version": "v1", "updated": "2017-03-23T13:08:53.000Z" } ], "analyses": { "keywords": [ "algebraic curves", "green-lazarsfeld secant conjectures", "explicit calculations", "special emphasis", "largely geometric" ], "tags": [ "lecture notes" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable" } } }