{ "id": "1504.00537", "version": "v1", "published": "2015-04-02T13:08:30.000Z", "updated": "2015-04-02T13:08:30.000Z", "title": "Verdier hypercovering theorem for motivic spectra", "authors": [ "Gereon Quick", "Andreas Rosenschon" ], "comment": "10 pages", "categories": [ "math.AG", "math.AT" ], "abstract": "We prove a Verdier Hypercovering Theorem for cohomology theories arising from motivic spectra. This allows us to construct for smooth quasi-projective complex varieties a natural morphism from etale algebraic to Hodge filtered complex cobordism, which extends the map from etale motivic to Deligne-Beilinson cohomology.", "revisions": [ { "version": "v1", "updated": "2015-04-02T13:08:30.000Z" } ], "analyses": { "subjects": [ "14F42", "14F43" ], "keywords": [ "verdier hypercovering theorem", "motivic spectra", "hodge filtered complex cobordism", "smooth quasi-projective complex varieties", "etale motivic" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150400537Q" } } }