Lüroth's theorem
= Lüroth's theorem
{wiki=Lüroth's_theorem}
Lüroth's theorem is a result in the field of algebraic geometry and number theory, specifically concerning the field of rational functions. It states that if \\( K \\) is a field of characteristic zero, any finitely generated field extension \\( L/K \\) that is purely transcendental (i.e.