{ "id": "1304.5093", "version": "v1", "published": "2013-04-18T12:05:19.000Z", "updated": "2013-04-18T12:05:19.000Z", "title": "The degree-2 Abel--Jacobi map for nodal curves - I", "authors": [ "Marco Pacini" ], "comment": "21 pages, 1 figure", "categories": [ "math.AG" ], "abstract": "Let $f\\col\\C\\ra B$ be a regular local smoothing of a nodal curve. In this paper, we find a modular description of the Abel--N\\'eron map having values in Esteves's fine compactified Jacobian and extending the degree-2 Abel--Jacobi map of the generic fiber of $f$", "revisions": [ { "version": "v1", "updated": "2013-04-18T12:05:19.000Z" } ], "analyses": { "keywords": [ "nodal curve", "abel-jacobi map", "estevess fine compactified jacobian", "regular local", "abel-neron map" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1304.5093P" } } }