paper

\ell-adic class field theory for regular local rings

arXiv:0709.3628

Abstract

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

9 pages

\ell-adic class field theory for regular local rings · wovepaper