# ell-adic class field theory for regular local rings - Mathematics > Number Theory

Abstract: In this paper, we prove the $\ell$-adic abelian class field theory forhenselian regular local rings of equi-characteristic assuming the surjectivityof Galois symbol maps, which is a $\ell$-adic variant of a result of Matsumi13.

Author: Kanetomo Sato

Source: https://arxiv.org/