Vol. 1, No. 2, 2007

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Singular homology of arithmetic schemes

Alexander Schmidt

Vol. 1 (2007), No. 2, 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.

Keywords
algebraic cycles, class field theory, arithmetic schemes
Mathematical Subject Classification 2000
Primary: 19E15
Secondary: 11R37
Milestones
Received: 27 February 2007
Revised: 21 June 2007
Accepted: 27 July 2007
Published: 1 May 2007
Authors
Alexander Schmidt
Universität Regensburg
NWF I-Mathematik
D-93040 Regensburg
Germany
http://www.mathematik.uni-regensburg.de/Schmidt