\ell-adic class field theory for regular local rings

Details \ell-adic class field theory for regular local rings \ell-adic class field theory for regular local rings

2007-09-23

arxiv.org/abs/0709.3628v1

Mathematics

Number Theory

9 pages

Scientific paper

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].

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