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Subjects
11-XX Number theory
11Sxx Algebraic number theory: local and $p$ -adic fields
11S70 $K$ -theory of local fields

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Displaying 1 – 3 of 3

The field-of-norms functor and the Hilbert symbol for higher local fields

Victor Abrashkin, Ruth Jenni (2012)

Journal de Théorie des Nombres de Bordeaux

The field-of-norms functor is applied to deduce an explicit formula for the Hilbert symbol in the mixed characteristic case from the explicit formula for the Witt symbol in characteristic $p > 2$ in the context of higher local fields. Is is shown that a “very special case” of this construction gives Vostokov’s explicit formula.

The torsion elements in K₂ of some local fields

Xuejun Guo (2007)

Acta Arithmetica

Théorie du corps de classes de Kato et revêtements abéliens de surfaces

Jean-Luc Brylinski (1983)

Annales de l'institut Fourier

L’auteur présente des applications élémentaires de la théorie du corps de classes de Kato et Parshin en dimensions 1 et 3 : calcul du conducteur d’une extension de Witt-Artin-Schreier d’un corps local de dimension 1, et étude des revêtements abéliens des surfaces.

Currently displaying 1 – 3 of 3

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