{ "id": "0808.4071", "version": "v1", "published": "2008-08-29T13:54:22.000Z", "updated": "2008-08-29T13:54:22.000Z", "title": "Factoriality of complete intersection threefolds", "authors": [ "Dimitra Kosta" ], "comment": "7 pages", "categories": [ "math.AG" ], "abstract": "Let X be a complete intersection of two hypersurfaces F_n and F_k in the projective space P^5 of degree n and k respectively with n >= k, such that the singularities of X are nodal and F_k is smooth. We prove that if the threefold X has at most (n+k-2)(n-1)-1 singular points, then it is factorial.", "revisions": [ { "version": "v1", "updated": "2008-08-29T13:54:22.000Z" } ], "analyses": { "subjects": [ "14J30", "14J17", "14M10", "14M05" ], "keywords": [ "complete intersection threefolds", "factoriality", "singular points", "singularities" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.4071K" } } }