Preprint pdf-file covdat-kkt.pdf Corrections: covdat-cor.pdf

Abstract: 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. |