{ "id": "1508.05579", "version": "v1", "published": "2015-08-23T09:07:19.000Z", "updated": "2015-08-23T09:07:19.000Z", "title": "Filtered moment graph sheaves", "authors": [ "Peter Fiebig", "Martina Lanini" ], "comment": "23 pages", "categories": [ "math.RT" ], "abstract": "We introduce the notion of (co-)filtered sheaves on quotients of moment graphs by a group action. We then introduce a (co-)filtered version of the canonical sheaves of Braden and MacPherson and show that their global sections are the indecomposable projective objects in a suitably defined exact category.", "revisions": [ { "version": "v1", "updated": "2015-08-23T09:07:19.000Z" } ], "analyses": { "keywords": [ "filtered moment graph sheaves", "group action", "global sections", "suitably defined exact category", "filtered version" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150805579F" } } }