Generalised Kawada-Satake method for Mackey functors in class field theory

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Fesenko, Ivan, Vostokov, Sergei V. and Yoon, Seok Ho (2018) Generalised Kawada-Satake method for Mackey functors in class field theory. European Journal of Mathematics, 4 (3). pp. 953-987. ISSN 2199-6768

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Official URL: https://link.springer.com/article/10.1007%2Fs40879-018-0245-x

Abstract

We propose and study a generalised Kawada--Satake method for Mackey functors in the class field theory of positive characteristic. The root of this method is in the use of explicit pairings, such as the Artin--Schreier--Witt pairing, for groups describing abelian extensions. We separate and simplify the algebraic component of the method and discuss a relation between the existence theorem in class field theory and topological reflexivity with respect to the explicit pairing. We apply this method to derive higher local class field theory of positive characteristic, using advanced properties of topological Milnor K-groups of such fields.

Item Type:	Article
Additional Information:	This is a post-peer-review, pre-copyedit version of an article published in European Journal of Mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s40879-018-0245-x
Keywords:	Class field theory; Higher class field theory; Kawada-Satake theory; Mackey functors
Schools/Departments:	University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:	10.1007/s40879-018-0245-x
Depositing User:	Fesenko, Professor Ivan
Date Deposited:	09 Apr 2018 13:48
Last Modified:	23 Apr 2019 04:30
URI:	https://eprints.nottingham.ac.uk/id/eprint/47756

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