{ "id": "0710.3008", "version": "v2", "published": "2007-10-16T10:44:44.000Z", "updated": "2008-08-11T18:15:46.000Z", "title": "Compactified Picard stacks over $\\bar{\\mathcal M}_g$", "authors": [ "Margarida Melo" ], "comment": "21 pages; To appear in Math. Zeit", "categories": [ "math.AG" ], "abstract": "We study algebraic (Artin) stacks over $\\bar{\\mathcal M}_g$ giving a functorial way of compactifying the relative degree $d$ Picard variety for families of stable curves. We also describe for every $d$ the locus of genus $g$ stable curves over which we get Deligne-Mumford stacks strongly representable over $\\bar{\\mathcal M}_g$.", "revisions": [ { "version": "v2", "updated": "2008-08-11T18:15:46.000Z" } ], "analyses": { "subjects": [ "14H10", "14H60", "14H40" ], "keywords": [ "compactified picard stacks", "stable curves", "functorial way", "study algebraic", "picard variety" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0710.3008M" } } }