Geometrization of continuous characters of ℤ<sub><i>p</i></sub><sup>×</sup>
Geometrization of continuous characters of ℤ<sub><i>p</i></sub><sup>×</sup>
We define the p-adic trace of certain rank-one local systems on the multiplicative group over p-adic numbers, using Sekiguchi and Suwa's unification of Kummer and Artin-Schreier-Witt theories.Our main observation is that, for every nonnegative integer n, the p-adic trace defines an isomorphism of abelian groups between local systems whose order …