{ "id": "1806.02069", "version": "v1", "published": "2018-06-06T08:53:32.000Z", "updated": "2018-06-06T08:53:32.000Z", "title": "An exposition on finite dimensionality of Chow groups", "authors": [ "Kalyan Banerjee" ], "comment": "19 pages", "categories": [ "math.AG" ], "abstract": "In this exposition we understand when the natural map from the Chow variety parametrizing codimension $p$ cycles on a smooth projective variety $X$ to the Chow group $\\CH^p(X)$ is surjective. We derive some consequences when the map is surjective.", "revisions": [ { "version": "v1", "updated": "2018-06-06T08:53:32.000Z" } ], "analyses": { "subjects": [ "14C25" ], "keywords": [ "chow group", "finite dimensionality", "exposition", "chow variety parametrizing codimension", "natural map" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }