{ "id": "0707.4602", "version": "v4", "published": "2007-07-31T12:46:34.000Z", "updated": "2008-10-04T09:04:04.000Z", "title": "Geometry of the theta divisor of a compactified jacobian", "authors": [ "Lucia Caporaso" ], "comment": "36 pages. Final version, to appear in JEMS", "categories": [ "math.AG" ], "abstract": "We study the theta divisor of the compactified jacobian of a nodal, possibly reducible, curve. We compute its irreducible components and give it a geometric interpretation consistent with the classical Brill-Noether theory of smooth curves. Some applications on hyperelliptic stable curves are appended.", "revisions": [ { "version": "v4", "updated": "2008-10-04T09:04:04.000Z" } ], "analyses": { "subjects": [ "14H40", "14H51", "14K30", "14D20" ], "keywords": [ "theta divisor", "compactified jacobian", "geometric interpretation consistent", "classical brill-noether theory", "smooth curves" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.4602C" } } }