{ "id": "1611.08821", "version": "v1", "published": "2016-11-27T10:21:26.000Z", "updated": "2016-11-27T10:21:26.000Z", "title": "Algebraic cycles on surfaces with $p_g=1$ and $q=2$", "authors": [ "Robert Laterveer" ], "comment": "10 pages, to appear in Comment. Math. Univ. St. Pauli, comments welcome !", "categories": [ "math.AG" ], "abstract": "This note is about an old conjecture of Voisin, which concerns zero--cycles on the self-product of surfaces of geometric genus one. We prove this conjecture for surfaces with $p_g=1$ and $q=2$.", "revisions": [ { "version": "v1", "updated": "2016-11-27T10:21:26.000Z" } ], "analyses": { "subjects": [ "14C15", "14C25", "14C30" ], "keywords": [ "algebraic cycles", "old conjecture", "concerns zero-cycles", "geometric genus" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }