arXiv subjects

Jonny Fernando Barreto-Castañeda

Publications and source records attributed to Jonny Fernando Barreto-Castañeda.

2 recordsLinked to original sources

arXiv2017

Genus fields of finite abelian extensions

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 determine it in terms of other invariants. We study the particular case of finite abelian $p$--extensions and give an explicit description of their genus field.

math.NT↗

arXiv2016

Abelian $p$-extensions and additive polynomials

In this work we present some arithmetic properties of families of abelian $p$--extensions of global function fields, among which are their generators and their type of ramification and decomposition.

math.NT↗