{ "id": "1406.6125", "version": "v1", "published": "2014-06-24T02:48:39.000Z", "updated": "2014-06-24T02:48:39.000Z", "title": "The Iwasawa Main conjecture of constant ordinary abelian varieties over function fields", "authors": [ "King Fai Lai", "Ignazio Longhi", "Ki-Seng Tan", "Fabien Trihan" ], "comment": "19 pages. arXiv admin note: substantial text overlap with arXiv:1205.5945", "categories": [ "math.NT" ], "abstract": "We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over $\\ZZ_p^d$-extensions of function fields ramifying at a finite set of places.", "revisions": [ { "version": "v1", "updated": "2014-06-24T02:48:39.000Z" } ], "analyses": { "keywords": [ "constant ordinary abelian varieties", "iwasawa main conjecture", "function fields", "geometric analogue", "finite set" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.6125L" } } }