Carlos Daniel Reyes-Morales

collaborators

2 papers

math.NT2020

Genus fields of Kummer $ℓ^{n}$ -cyclic extensions

Carlos Daniel Reyes-Morales, Gabriel Villa-Salvador

We give a construction of the genus field for Kummer $ℓ^{n}$ -cyclic extensions of rational congruence function fields, where $ℓ$ is a prime number. First, we compute the genus…

math.NT2017

Genus fields of finite abelian extensions

Jonny Fernando Barreto-Castañeda, Carlos Montelongo-Vázquez, Carlos Daniel Reyes-Morales +2

In this paper we find the genus field of finite abelian extensions of the global rational function field. We introduce the term conductor of constants for these extensions and dete…

Genus fields of Kummer ℓn-cyclic extensions

Genus fields of finite abelian extensions

Genus fields of Kummer $ℓ^{n}$ -cyclic extensions