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arXiv · 2403.01021

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

Martha Rzedowski-Calderón·Gabriel Villa-Salvador
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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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Martha Rzedowski-Calderón, Gabriel Villa-Salvador. 2024-03-01. A note on extended genus fields of Kummer extensions of rational function fields. https://arxiv.org/abs/2403.01021

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