{ "id": "math/9907100", "version": "v1", "published": "1999-07-15T12:18:42.000Z", "updated": "1999-07-15T12:18:42.000Z", "title": "The cohomology of period domains for reductive groups over finite fields", "authors": [ "Sascha Orlik" ], "comment": "19 pages, LaTeX", "categories": [ "math.AG" ], "abstract": "The goal of this paper is to give an explicit formula for the l-adic cohomology of period domains over finite fields for arbitrary reductive groups. The result is a generalisation of the computation in math.AG/9907098 which treats the case of the general linear group.", "revisions": [ { "version": "v1", "updated": "1999-07-15T12:18:42.000Z" } ], "analyses": { "subjects": [ "14D25", "14F20" ], "keywords": [ "period domains", "finite fields", "general linear group", "l-adic cohomology", "explicit formula" ], "note": { "typesetting": "LaTeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......7100O" } } }