Negative curve on a projective surface
= Negative curve on a projective surface
{title2=$C^2<0$}
= Negative curves on a projective surface
{synonym}
= Negative curve
{synonym}
A negative curve is an irreducible <algebraic curve> on a smooth projective surface whose <self-intersection number> is negative. The negativity prevents it from moving in a nontrivial effective linear system and constrains how many curves can represent a fixed numerical class.