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

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

2006-08-18

arxiv.org/abs/math/0608464v2

Mathematics

Number Theory

14 pages

Scientific paper

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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