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Does it exist a general algorithm to find the algebraic representation of an affine subspace starting from the parametric rapresentation?

Walter
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  • I'm not confident that is a general algorithm to determine if an algebraic representation exists given a parametric one. Do you know a priori that the curves are algebraic? – CyclotomicField Jan 05 '18 at 16:37
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    If you mean a polynomial or rational parametrization, then yes, there is such an algorithm. This topic (implicitization) is covered in Cox, Little, O'Shea. I mention the relevant theorem in my answer here. – Viktor Vaughn Jan 05 '18 at 21:27

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