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arXiv · 1806.02235

On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification

Werner Bley·David Burns·Carl Hahn
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Abstract

We use techniques of relative algebraic K-theory to develop a common refinement of the existing theories of metrized and hermitian Galois structures in arithmetic. As a first application of this very general approach, we then use it to prove several new results, and to formulate a framework of new conjectures, concerning the detailed arithmetic properties of wildly ramified Galois-Gauss sums.

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Werner Bley, David Burns, Carl Hahn. 2019-09-02. On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification. https://doi.org/10.2140/akt.2020.5.79

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