{ "id": "math/0702341", "version": "v1", "published": "2007-02-12T19:35:03.000Z", "updated": "2007-02-12T19:35:03.000Z", "title": "Hodge Structure of a Complete Intersection of Quadrics in a Projective Space", "authors": [ "Su-Jeong Kang" ], "comment": "20 pages", "categories": [ "math.AG" ], "abstract": "Given a smooth projective variety V of dimension n, one may say that V has motivic dimension less than d+1 if the cohomology of V comes from varieties of dimensions less than d+1 in some geometric way. In this paper, we show that a smooth complete interesection of k quadrics has a motivic dimension less than k.", "revisions": [ { "version": "v1", "updated": "2007-02-12T19:35:03.000Z" } ], "analyses": { "keywords": [ "complete intersection", "hodge structure", "projective space", "motivic dimension", "smooth complete interesection" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2341K" } } }