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