{ "id": "1301.2011", "version": "v1", "published": "2013-01-10T00:41:35.000Z", "updated": "2013-01-10T00:41:35.000Z", "title": "The birational geometry of moduli space of sheaves on the projective plane", "authors": [ "Aaron Bertram", "Cristian Martinez", "Jie Wang" ], "comment": "33 pages, comments welcome", "categories": [ "math.AG" ], "abstract": "We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves $M_H(v)$ on $\\bb{P}^2$ and mini-wall crossings in the stability manifold $Stab(D^b(\\bb{P}^2))$.", "revisions": [ { "version": "v1", "updated": "2013-01-10T00:41:35.000Z" } ], "analyses": { "keywords": [ "moduli space", "birational geometry", "projective plane", "close relation", "gieseker stable sheaves" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.2011B" } } }