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arXiv:math/0608464 [math.NT]AbstractReferencesReviewsResources

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

Takao Yamazaki

Published 2006-08-18, updated 2007-10-15Version 2

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.

Comments: 14 pages
Categories: math.NT, math.AG
Subjects: 11G45, 14C35, 19F05
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