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Some consequences of Wiesend's higher dimensional class field theory

URN to cite this document:
urn:nbn:de:bvb:355-epub-5868
Schmidt, Alexander
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

G. Wiesend [W1] established a class field theory for arithmetic schemes, solely based on data attached to closed points and curves on the given scheme. Our goal is to deduce from his result the relation between the integral singular homology in degree zero and the abelianized tame fundamental group of a regular, connected scheme of finite type over Spec(Z).


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