{ "id": "0712.0261", "version": "v1", "published": "2007-12-03T11:39:51.000Z", "updated": "2007-12-03T11:39:51.000Z", "title": "Koszul complexes and fully faithful integral functors", "authors": [ "Fernando Sancho de Salas" ], "doi": "10.1112/blms/bdp093", "categories": [ "math.AG" ], "abstract": "We characterise those objects in the derived category of a scheme which are a sheaf supported on a closed subscheme in terms of Koszul complexes. This is applied to generalize to arbitrary schemes the fully faithfullness criteria of an integral functor.", "revisions": [ { "version": "v1", "updated": "2007-12-03T11:39:51.000Z" } ], "analyses": { "subjects": [ "18E30", "14F05", "14J27", "14E30", "13D22", "14M05" ], "keywords": [ "fully faithful integral functors", "koszul complexes", "arbitrary schemes", "fully faithfullness criteria", "derived category" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.0261S" } } }