Abstract
We use techniques of relative algebraic -theory to develop a common refinement of the theories of metrized and hermitian Galois structures in arithmetic. As a first application of the general approach, we then use it to prove several new results, and to formulate several explicit new conjectures, concerning the detailed arithmetic properties of a natural class of wildly ramified Galois–Gauss sums.
Citation
Werner Bley. David Burns. Carl Hahn. "On refined metric and hermitian structures in arithmetic, I: Galois–Gauss sums and weak ramification." Ann. K-Theory 5 (1) 79 - 140, 2020. https://doi.org/10.2140/akt.2020.5.79
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