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arxiv: 1703.07842 · v2 · pith:KG2ZK2XInew · submitted 2017-03-22 · 🧮 math.KT · math.NT

A K-theoretic approach to Artin maps

Dustin Clausen This is my paper
classification 🧮 math.KT math.NT
keywords artingroupabelianizedabsoluteapproachattachedcasecategory
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We define a functorial "Artin map" attached to any small $\bf{Z}$-linear stable $\infty$-category, which in the case of perfect complexes over a global field recovers the usual Artin map from the idele class group to the abelianized absolute Galois group. In particular, this gives a new proof of the Artin reciprocity law.

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