A note on extended genus fields of Kummer extensions of rational function fields

Published 1 Mar 2024 in math.NT | (2403.01021v1)

Abstract: We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in general.

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