{ "id": "math/0611469", "version": "v1", "published": "2006-11-15T18:03:23.000Z", "updated": "2006-11-15T18:03:23.000Z", "title": "Cohomology of line bundles on a toric variety and constructible sheaves on its polytope", "authors": [ "Nathan Broomhead" ], "comment": "14 pages", "categories": [ "math.AG" ], "abstract": "We explain a method for calculating the cohomology of line bundles on a toric variety in terms of the cohomology of certain constructible sheaves on the polytope. We show its effective use by means of some examples.", "revisions": [ { "version": "v1", "updated": "2006-11-15T18:03:23.000Z" } ], "analyses": { "subjects": [ "14M25", "32S60", "52B20" ], "keywords": [ "line bundles", "toric variety", "constructible sheaves", "cohomology" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11469B" } } }