{ "id": "1606.03221", "version": "v1", "published": "2016-06-10T07:58:05.000Z", "updated": "2016-06-10T07:58:05.000Z", "title": "On Kernel of the regulator map", "authors": [ "Sen Yang" ], "comment": "6 pages", "categories": [ "math.AG" ], "abstract": "Based on the infinitesimal methods due to Bloch. Green and Griffiths, we construct an infinitesimal form of the regulator map and verify that its kernel is $\\Omega^{1}_{\\mathbb{C}/\\mathbb{Q}}$, which suggests Question 1.1 seems reasonable at the infinitesimal level.", "revisions": [ { "version": "v1", "updated": "2016-06-10T07:58:05.000Z" } ], "analyses": { "keywords": [ "regulator map", "infinitesimal methods", "infinitesimal form", "infinitesimal level" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }