Extended genus field of cyclic Kummer extensions of rational function fields

Edgar Omar Curiel-Anaya, Myriam Rosalía Maldonado-Ramírez, Martha Rzedowski-Calderón

For a cyclic Kummer extension $K$ of a rational function field $k$ is considered, via class field theory, the extended Hilbert class field $K_H^{+}$ of $K$ and the corresponding exte…