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arXiv · 0709.3628

\ell-adic class field theory for regular local rings

Kanetomo Sato
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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].

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Kanetomo Sato. 2007-09-23. \ell-adic class field theory for regular local rings. https://arxiv.org/abs/0709.3628

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