A note on extended genus fields of Kummer extensions of rational function fields
Number Theory
2024-03-05 v1
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.
Cite
@article{arxiv.2403.01021,
title = {A note on extended genus fields of Kummer extensions of rational function fields},
author = {Martha Rzedowski-Calderón and Gabriel Villa-Salvador},
journal= {arXiv preprint arXiv:2403.01021},
year = {2024}
}
Comments
8 pages