English

\ell-adic class field theory for regular local rings

Number Theory 2007-09-25 v1 K-Theory and Homology

Abstract

In this paper, we prove the \ell-adic abelian class field theory for henselian regular local rings of equi-characteristic assuming the surjectivity of Galois symbol maps, which is a \ell-adic variant of a result of Matsumi [13].

Keywords

Cite

@article{arxiv.0709.3628,
  title  = {\ell-adic class field theory for regular local rings},
  author = {Kanetomo Sato},
  journal= {arXiv preprint arXiv:0709.3628},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-06-21T09:20:41.275Z