Singular Homology of Arithmetic Schemes

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

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Number Theory, Algebraic Geometry, 19E15, 11R37

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http://salesiana.dossiersoluciones.com/handle/123456789/135182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703853
 http://arxiv.org/abs/math/0703853

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arXiv