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arxiv: 1712.09194 · v2 · pith:QWOMOK5Dnew · submitted 2017-12-26 · 🧮 math.NT

Class field theory for open curves over local fields, II

classification 🧮 math.NT
keywords fieldlocalopenreciprocityarxivcharacteristicclasscontinuation
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As a continuation of arXiv:1412.6888, we study the reciprocity map for an open curve $X$ over a local field of characteristic $p>0$. We determine the $p$-part of the kernel of the reciprocity map after restricting ramification when the rank of $X$ is $0$.

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