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arxiv: 0709.3628 · v1 · submitted 2007-09-23 · 🧮 math.NT · math.KT

ell-adic class field theory for regular local rings

classification 🧮 math.NT math.KT
keywords adicclassfieldlocalregularringstheoryabelian
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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].

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