The local Artin map is the reciprocity homomorphism of Local Artin reciprocity. Its normalization is fixed by choosing whether a uniformizer maps to arithmetic or geometric Frobenius.

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  1. Local Artin reciprocity
  2. Local class field theory
  3. Maximal abelian extension
  4. Local field
  5. Non-Archimedean analysis
  6. Arithmetic
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