On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification
Number Theory
2020-03-25 v2
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.
Keywords
Cite
@article{arxiv.1806.02235,
title = {On refined metric and hermitian structures in arithmetic, I: Galois-Gauss sums and weak ramification},
author = {Werner Bley and David Burns and Carl Hahn},
journal= {arXiv preprint arXiv:1806.02235},
year = {2020}
}
Comments
revised version, 50 pages