Genus fields of Kummer extensions of rational function fields
Autor: | Rzedowski-Calderón, Martha, Villa-Salvador, Gabriel |
---|---|
Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this paper we obtain the genus field of a general Kummer extension of a global rational function field. We study first the case of a general Kummer extension of degree a power of a prime. Then we prove that the genus field of a composite of two abelian extensions of a global rational function field with relatively prime degrees is equal to the composite of their respective genus fields. Our main result, the genus of a general Kummer extension of a global rational function field, is a direct consequence of this fact. Comment: 16 pages |
Databáze: | arXiv |
Externí odkaz: |