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On
refined metric and hermitian structures in arithmetic, I:
Galois–Gauss sums and weak ramification
Werner Bley, David Burns and Carl Hahn |
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Vol. 5 (2020), No. 1, 79–140
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DOI: 10.2140/akt.2020.5.79
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Abstract |
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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. |
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Keywords
Galois module structure, weakly and wildly ramified
Galois–Gauss sums, relative algebraic $K$-theory,
Galois–Jacobi sums
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Mathematical Subject Classification 2010
Primary: 11R33, 16E20, 19A49
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Milestones
Received: 21 August 2018
Revised: 17 June 2019
Accepted: 7 August 2019
Published: 21 March 2020
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Authors |
| Werner Bley | |
| Mathematisches Institut Ludwig-Maximilians-Universität München München Germany |
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| David Burns | |
| Department of Mathematics King’s College London Strand London United Kingdom |
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| Carl Hahn | |
| London United Kingdom |
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