%0 Journal Article
%T Covering data and higher dimensional global class field theory
%A Moritz Kerz
%A Alexander Schmidt
%J Mathematics
%D 2008
%I arXiv
%X For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism \rho_X: C_X --> \pi_1^\ab(X), which is surjective and whose kernel is the connected component of the identity. The (topological) group C_X is explicitly given and built solely out of data attached to points and curves on X. A similar but weaker statement holds for smooth varieties over finite fields. Our results are based on earlier work of G. Wiesend.
%U http://arxiv.org/abs/0804.3419v2