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 |

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### 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 |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 2379-1683 |

Language: | English |

ID Code: | 88968 |

Deposited On: | 25. Jan 2022 09:28 |

Last Modified: | 25. Jan 2022 09:28 |

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