2018/11/23 by Sophie Marques, Marques, Sophie, Jacob Kenneth Ward +1
Computer Science · Mathematics · #11R16 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1811.10436
openalex publication_date 2018/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present work, we determine explicitly the genus of any separable cubic extension of any global function field given the minimal polynomial of the extension. We give algorithms computing the ramification data and the genus of any separable cubic extension of any global rational function field.