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.
Citation
Alexander Schmidt. "Singular homology of arithmetic schemes." Algebra Number Theory 1 (2) 183 - 222, 2007. https://doi.org/10.2140/ant.2007.1.183
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