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Class field theory for a product of curves over a local field
Authors:Takao Yamazaki
Institution:(1) Mathematical Institute, Tohoku University, Aoba, Sendai 980-8578, Japan
Abstract:We prove that 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 K 1 of a product of curves over a number field.
Keywords:Higher dimensional class field theory  Reciprocity map  Hasse principle            K-group
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