Class Field Theory for a Product of Curves over a Local Field
نویسنده
چکیده
We prove that the the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K1 of a product of curves over a number field.
منابع مشابه
Finiteness Theorems in the Class Field Theory of Varieties over Local Fields
We show that the geometric part of the abelian étale fundamental group of a proper smooth variety over a local field is finitely generated over b Z with finite torsion, and describe its rank by the special fiber of the Néron model of the Albanese variety. As an application, we complete the class field theory of curves over local fields developed by S. Bloch and S. Saito, in which the theorem co...
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