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A geometric proof of a reciprocity law

Published online by Cambridge University Press:  22 January 2016

Richard Hill
Richard Hill*
Affiliation:
Mathematisches Institut der Georg August Universität Göttingen
*
Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26 53225 Bonn, Germany
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In this paper we prove the reciprocity law for a Kummer extension of an algebraic number field K. The proof is similar to the proof of the same theorem by Kubota [14, 15]. Such methods were applied by Gauss [6, 7] to the cases K ═ Q, and by Habicht [8] to the case . We now discuss informally the structure of the proof. All definitions and statements made at this stage are only approximations to the truth, and shouldn’t be used as references for the later chapters.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 137 , March 1995 , pp. 77 - 144
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

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