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On polynomial Torus Knots

Pierre-Vincent Koseleff, Daniel Pecker

math.AGarXiv:math/0610663

Abstract

We show that no torus knot of type (2,n), n>3 odd, can be obtained from a polynomial embedding t (f(t), g(t), h(t)) where (°(f),°(g))≤ (3,n+1) . Eventually, we give explicit examples with minimal lexicographic degree.

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