Rational Varieties

Rational varieties are a type of mathematical object in algebraic geometry, which studies the shapes of solutions to polynomial equations. Specifically, these varieties can be described using simpler geometric forms, called rational parametric equations. For instance, if a shape can be expressed using rational functions (fractions of polynomials), it is considered a rational variety. This concept is important as it helps mathematicians understand complex shapes and their properties using simpler, more manageable equations, contributing to various fields, including number theory and algebraic geometry.