Alexander Schmidt:

Singular homology of arithmetic schemes

       Author: Alexander Schmidt
       Title: Singular homology of arithmetic schemes
       Year: 2007
       Pages: 40
       In: Algebra & Number Theory 1 no.2 (2007), 183-222
      Abstract: 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.

       Link to Journal, preprint pdf-file singhom.pdf.