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

Bley, Werner; Burns, David; Hahn, Carl (2020): On refined metric and hermitian structures in arithmetic I: Galois-Gauss sums and weak ramification. In: Annals of K-Theory, Vol. 5, No. 1: pp. 79-140

Abstract

We use techniques of relative algebraic K-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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 2379-1683
• Language: English