{ "id": "1706.05823", "version": "v1", "published": "2017-06-19T08:09:05.000Z", "updated": "2017-06-19T08:09:05.000Z", "title": "Algebraic cycles on Fano varieties of some cubics", "authors": [ "Robert Laterveer" ], "comment": "16 pages, to appear in Results in Math., comments welcome", "categories": [ "math.AG" ], "abstract": "This note is about cycle-theoretic properties of the Fano variety of lines on a smooth cubic fivefold. The arguments are based on the fact that this Fano variety has finite-dimensional motive. We also present some results concerning Chow groups of Fano varieties of lines on certain cubics in other dimensions.", "revisions": [ { "version": "v1", "updated": "2017-06-19T08:09:05.000Z" } ], "analyses": { "subjects": [ "14C15", "14C25", "14C30" ], "keywords": [ "fano variety", "algebraic cycles", "smooth cubic fivefold", "results concerning chow groups", "cycle-theoretic properties" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }