{ "id": "0902.1594", "version": "v1", "published": "2009-02-10T07:37:53.000Z", "updated": "2009-02-10T07:37:53.000Z", "title": "Cohomology of Coherent Sheaves and Series of Supernatural Bundles", "authors": [ "David Eisenbud", "Frank-Olaf Schreyer" ], "categories": [ "math.AG", "math.AC" ], "abstract": "We show that the cohomology table of any coherent sheaf on projective space is a convergent--but possibly infinite--sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.", "revisions": [ { "version": "v1", "updated": "2009-02-10T07:37:53.000Z" } ], "analyses": { "subjects": [ "14F05", "13C05" ], "keywords": [ "coherent sheaves", "supernatural bundles", "cohomology table", "coherent sheaf", "supernatural sheaves" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0902.1594E" } } }