Optimal affine reparametrization of rational curves |
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Authors: | Luis Felipe Tabera |
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Affiliation: | Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Av. los Castros s/n, Santander, Spain |
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Abstract: | Let K be a characteristic zero field, let ?(t) be a birational parametrization ?(t) of a K-definable curve C with coefficients in an algebraic extension K(α) over K. We propose an algorithm to solve the optimization problem of computing the affine reparametrization t→at+b such that ?(at+b) has coefficients over an extension of K with algebraic degree as small as possible. |
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Keywords: | Rational curves Algebraic extensions Weil descent method |
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