Abstract

Shinji Miura gave certain multivariable polynomials that express an Affine curve for a given algebraic function field F and its degree one place O, if F contains such an O. Suppose the equations contain t ( 2) variables, and that the pole orders at O are a1, , at 1, where GCD a1, , at = 1. If ai di a1 di 1 N + + ai 1 di 1 N, di = GCD a 1, , ai

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