\ell-adic class field theory for regular local rings

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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].
9 pages

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Number Theory, K-Theory and Homology, 11G45; 19F05

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http://salesiana.dossiersoluciones.com/handle/123456789/138586

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.3628
 http://arxiv.org/abs/0709.3628

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arXiv