Class field theory for a product of curves over a local field

Takao Yamazaki

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Class field theory for a product of curves over a local field

Takao Yamazaki

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Abstract

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 $K_1$ of a product of curves over a number field.

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Takao Yamazaki. 2007-10-15. Class field theory for a product of curves over a local field. https://arxiv.org/abs/math/0608464

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