Singular Homology of Arithmetic Schemes , by Alexander Schmidt

This is an extended version of paper no. 418 on this server. We construct a singular homology theory on the category of schemes of finite type over a Dedekind domain and verify several basic properties. For arithmetic schemes we construct a reciprocity isomorphism between the integral singular homology in degree zero and the abelianized modified tame fundamental group.


Alexander Schmidt <alexander.schmidt@mathematik.uni-regensburg.de >