2022/04/04 by Martha Rzedowski–Calderón, Gabriel Villa–Salvador, Rzedowski-Calderón, Martha +1
Mathematics · Social Sciences · #11R60 #Advanced Differential Equations and Dynamical Systems #African history and culture studies #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Primary 11R58 #Secondary 11R29
paper · pdf · doi:10.48550/arxiv.2204.01874
openalex publication_date 2022/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 relatively prime degrees is equal to the composite of their respective genus fields and our previous results, we deduce the general expression of the genus field of a finite abelian extension of a global rational function field.