{ "id": "1305.3444", "version": "v1", "published": "2013-05-15T12:17:05.000Z", "updated": "2013-05-15T12:17:05.000Z", "title": "Comparison of the $μ$-invariants of an abelian variety and its dual abelian variety", "authors": [ "Amala Bhave" ], "comment": "1 figure, 1 commutative diagram", "categories": [ "math.NT" ], "abstract": "In this note, we compare the dual Selmer groups of an abelian variety with that of its dual over certain large Galois field. We give formula which relates the generalized Iwasawa $\\mu$-invariants associated with their dual Selmer groups under the natural isogeny.", "revisions": [ { "version": "v1", "updated": "2013-05-15T12:17:05.000Z" } ], "analyses": { "subjects": [ "11R23", "11G05" ], "keywords": [ "dual abelian variety", "dual selmer groups", "invariants", "comparison", "large galois field" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.3444B" } } }