Genus fields of finite abelian extensions

Autor:	Barreto-Castañeda, Jonny Fernando, Montelongo-Vázquez, Carlos, Reyes-Morales, Carlos Daniel, Rzedowski-Calderón, Martha, Villa-Salvador, Gabriel
Rok vydání:	2017
Předmět:	Mathematics - Number Theory 11R58 (Primary) 11R60 11R29 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.06697 Zobrazit plný text záznamu View this record from Arxiv