{ "id": "math/9804113", "version": "v2", "published": "1998-04-23T10:05:18.000Z", "updated": "1998-04-28T06:37:00.000Z", "title": "A splitting criterion for rank 2 vector bundles on hypersurfaces in P^4", "authors": [ "Carlo Madonna" ], "comment": "Typesetting minor corrections made", "journal": "Rend. Sem. Mat. Univ. Politec. Torino 56 (1998), no. 2, 43-54", "categories": [ "math.AG" ], "abstract": "We show that Horrocks' criterion for the splitting of rank two vector bundles in P^3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P^4. Extension of other splitting criterion are studied.", "revisions": [ { "version": "v2", "updated": "1998-04-28T06:37:00.000Z" } ], "analyses": { "subjects": [ "14F05" ], "keywords": [ "vector bundles", "splitting criterion", "non singular hypersurfaces", "chern classes" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......4113M" } } }