Singular Homology of Arithmetic Schemes

Details Singular Homology of Arithmetic Schemes Singular Homology of Arithmetic Schemes

2007-03-28

arxiv.org/abs/math/0703853v2

Mathematics

Number Theory

final version, to appear in "Algebra & Number Theory"

Scientific paper

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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