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This approach reveals algebraic points of arbitrary degree on an affine curve, suggesting deeper geometric insights into Fermat curves.
We give a geometric description of all algebraic points of arbitrary degree over on the affine curve defined by the equation This curve is a special case of the quotients of Fermat curves of the form as studied by Sall (see [6]), completing earlier works of Gross and Rohrlich (cf. [4]).
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Diallo et al. (2025) studied this question.
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