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- W3195292971 abstract "We obtain the extended genus field of an abelian extension of a rational function field. We follow the definition of Angles and Jaulent, which uses class field theory. First we show that the natural definition of extended genus field of a cyclotomic function field obtained by means of Dirichlet characters is the same as the one given by Angles and Jaulent. Next we study the extended genus field of a finite abelian extension of a rational function field along the lines of the study of genus fields of abelian extensions of rational function fields and compare this approach with the one given by Angles and Jaulent." @default.
- W3195292971 created "2021-08-30" @default.
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- W3195292971 date "2021-08-18" @default.
- W3195292971 modified "2023-10-18" @default.
- W3195292971 title "Class fields, Dirichlet characters and extended genus fields of global function fields" @default.
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