##  [Rational Parametrization](/rational-parametrization) 

  ##  [Rational Parametrization](https://algebra.quantumdictionary.io/rational-parametrization-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A map from a parameter space (typically the projective line or products thereof) to an algebraic variety given by rational functions in the parameters; it provides an explicit, often birational, description of the variety in terms of parameter coordinates.