Abstract
For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism rho x : Cx -> pi(ab)(1)(X), which is surjective and whose kernel is the connected component of the identity. The (topological) group Cx 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 ...
Abstract
For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism rho x : Cx -> pi(ab)(1)(X), which is surjective and whose kernel is the connected component of the identity. The (topological) group Cx 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. (c) 2009 Elsevier Inc. All rights reserved.
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