Singular homology of arithmetic schemes

Alexander Schmidt

doi:10.2140/ant.2007.1.183

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Home > Journals > Algebra Number Theory > Volume 1 > Issue 2 > Article

2007 Singular homology of arithmetic schemes

Alexander Schmidt

Algebra Number Theory 1(2): 183-222 (2007). DOI: 10.2140/ant.2007.1.183

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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.