English

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

Number Theory 2007-10-15 v2 Algebraic Geometry

Abstract

We prove that the the kernel of the reciprocity map for a product of curves over a pp-adic field with split semi-stable reduction is divisible. We also consider the K1K_1 of a product of curves over a number field.

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Cite

@article{arxiv.math/0608464,
  title  = {Class field theory for a product of curves over a local field},
  author = {Takao Yamazaki},
  journal= {arXiv preprint arXiv:math/0608464},
  year   = {2007}
}

Comments

14 pages