Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Rzedowski–Calderón, Martha"'
We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in gener
Externí odkaz:
http://arxiv.org/abs/2403.01021
Autor:
Rzedowski-Calderón, Martha1 (AUTHOR), Villa-Salvador, Gabriel1 (AUTHOR) gvillasalvador@gmail.com
Publikováno v:
Axioms (2075-1680). Nov2024, Vol. 13 Issue 11, p734. 8p.
In this paper we first obtain the genus field of a finite abelian non-Kummer $l$--extension of a global rational function field. Then, using that the genus field of a composite of two abelian extensions of a global rational function field with relati
Externí odkaz:
http://arxiv.org/abs/2204.01874
For a cyclic Kummer extension $K$ of a rational function field $k$ is considered, via class field theory, the extended Hilbert class field $K_H^+$ of $K$ and the corresponding extended genus field $K_g^+$ of $K$ over $k$, along the lines of the defin
Externí odkaz:
http://arxiv.org/abs/2108.13546
We obtain the extended genus field of an abelian extension of a rational function field. We follow the definition of Angl\`es and Jaulent, which uses class field theory. First we show that the natural definition of extended genus field of a cyclotomi
Externí odkaz:
http://arxiv.org/abs/2108.08337
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 ab
Externí odkaz:
http://arxiv.org/abs/2105.06627
In this paper we obtain the extended genus field of a global field. First we define the extended genus field of a global function field and we obtain, via class field theory, the description of the extended genus field of an arbitrary global function
Externí odkaz:
http://arxiv.org/abs/1901.07156
Publikováno v:
In Finite Fields and Their Applications January 2023 85
Autor:
Barreto-Castañeda, Jonny Fernando, Montelongo-Vázquez, Carlos, Reyes-Morales, Carlos Daniel, Rzedowski-Calderón, Martha, Villa-Salvador, Gabriel
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
Externí odkaz:
http://arxiv.org/abs/1709.06697
Publikováno v:
In Finite Fields and Their Applications January 2022 77