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Explicit Function Fields

Published in Cambridge University Press eBooks • Jun 14, 2001
Authors:
Harald Niederreiter
,
Chaoping Xing

Abstract

In Chapter 2 we have seen how to obtain, in theory, all finite abelian extensions of a global function field F/Fq. In this chapter we are going to construct some of these finite abelian extensions explicitly by considering Kummer and Artin-Schreier extensions, cyclotomic function fields, and Drinfel...

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