Negative curve on a projective surface (source code)

= Negative curve on a projective surface
{title2=$C^2<0$}

= Negative curves on a projective surface
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= Negative curve
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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.