An explicit triangular integral basis for any separable cubic extension of a function field

2017/06/15 by Marques, Sophie, Ward, Kenneth
#11T22 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1706.04952

Abstract

We determine an explicit triangular integral basis for any separable cubic extension of a rational function field over a finite field in any characteristic. We obtain a formula for the discriminant of every such extension in terms of a standard form in a tower for the Galois closure.

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