{ "id": "math/0607593", "version": "v1", "published": "2006-07-24T11:36:38.000Z", "updated": "2006-07-24T11:36:38.000Z", "title": "Zero cycles on certain surfaces in arbitrary characteristic", "authors": [ "G V Ravindra" ], "comment": "14 pages", "categories": [ "math.AG", "math.KT" ], "abstract": "Let $k$ be a field of arbitrary characteristic. Let $S$ be a singular surface defined over $k$ with multiple rational curve singularities and suppose that the Chow group of zero cycles of its normalisation $\\tilde{S}$ is finite dimensional. We give numerical conditions under which the Chow group of zero cycles of $S$ is finite dimensional.", "revisions": [ { "version": "v1", "updated": "2006-07-24T11:36:38.000Z" } ], "analyses": { "subjects": [ "14C25", "19E08" ], "keywords": [ "zero cycles", "arbitrary characteristic", "multiple rational curve singularities", "chow group", "finite dimensional" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......7593R" } } }