2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138586In 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].9 pagesNumber TheoryK-Theory and Homology11G45; 19F05text