A geometric proof of a reciprocity law

Author:

Hill Richard

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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