{ "id": "1902.00932", "version": "v1", "published": "2019-02-03T17:30:54.000Z", "updated": "2019-02-03T17:30:54.000Z", "title": "On Suslin homology with integral coefficients in characteristic zero", "authors": [ "Xiaowen Hu" ], "categories": [ "math.AG" ], "abstract": "We show that the Suslin homology group with integral coefficients of a scheme $X$ separated of finite type over an algebraically closed field of characteristic 0 is a direct sum of a uniquely divisible group, finite copies of $\\mathbb{Q}/\\mathbb{Z}$, and a finitely generated group. We also study the possible type of homomorphisms between such groups induced by th morphisms of schemes.", "revisions": [ { "version": "v1", "updated": "2019-02-03T17:30:54.000Z" } ], "analyses": { "keywords": [ "integral coefficients", "characteristic zero", "suslin homology group", "finite type", "th morphisms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }