Singular homology of arithmetic schemes

Schmidt, Alexander (2007) Singular homology of arithmetic schemes. ALGEBRA & NUMBER THEORY, 1 (2). pp. 183-222. ISSN 1937-0652,

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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.

Item Type: Article
Uncontrolled Keywords: ; algebraic cycles; class field theory; arithmetic schemes
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Dec 2020 12:03
Last Modified: 23 Dec 2020 12:03
URI: https://pred.uni-regensburg.de/id/eprint/33310

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