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

Published 15 Jun 2017 in math.NT | (1706.04952v2)

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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