Genus fields of finite abelian extensions
Number Theory
2017-10-24 v2
Abstract
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 --extensions and give an explicit description of their genus field.
Keywords
Cite
@article{arxiv.1709.06697,
title = {Genus fields of finite abelian extensions},
author = {Jonny Fernando Barreto-Castañeda and Carlos Montelongo-Vázquez and Carlos Daniel Reyes-Morales and Martha Rzedowski-Calderón and Gabriel Villa-Salvador},
journal= {arXiv preprint arXiv:1709.06697},
year = {2017}
}
Comments
23 pages