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Optimal affine reparametrization of rational curves
Authors:Luis Felipe Tabera
Affiliation:
  • Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Av. los Castros s/n, Santander, Spain
  • 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 tat+b such that ?(at+b) has coefficients over an extension of K with algebraic degree as small as possible.
    Keywords:Rational curves   Algebraic extensions   Weil descent method
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