{ "id": "1607.07729", "version": "v1", "published": "2016-07-26T14:39:53.000Z", "updated": "2016-07-26T14:39:53.000Z", "title": "Iwasawa Main Conjecture for Non-Ordinary Modular Forms", "authors": [ "Xin Wan" ], "comment": "37 Pages", "categories": [ "math.NT" ], "abstract": "Let $p>2$ be a prime. Under mild assumptions, we prove the Iwasawa main conjecture of Kato, for modular forms with general weight and conductor prime to $p$. This generalizes an earlier work of the author on supersingular elliptic curves.", "revisions": [ { "version": "v1", "updated": "2016-07-26T14:39:53.000Z" } ], "analyses": { "keywords": [ "iwasawa main conjecture", "non-ordinary modular forms", "supersingular elliptic curves", "mild assumptions", "general weight" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable" } } }