= Rational parametrization of an algebraic curve
A rational parametrization expresses the coordinates of an <algebraic curve> as <rational functions> of a parameter, with a rational inverse on a dense open subset. It identifies the <function field> with $K(t)$ and the smooth projective <normalization of an algebraic curve> with the <projective line>. A nonconstant parametrizing map without an inverse is a weaker notion; even this cannot exist for an <elliptic curve> in characteristic zero.
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