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Singular Homology of Arithmetic Schemes

Alexander Schmidt
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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.

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Alexander Schmidt. 2007-07-30. Singular Homology of Arithmetic Schemes. https://arxiv.org/abs/math/0703853

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