Singular Homology of Arithmetic Schemes
Number Theory
2007-07-30 v2 Algebraic Geometry
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.
Cite
@article{arxiv.math/0703853,
title = {Singular Homology of Arithmetic Schemes},
author = {Alexander Schmidt},
journal= {arXiv preprint arXiv:math/0703853},
year = {2007}
}
Comments
final version, to appear in "Algebra & Number Theory"