Riemann–Roch theorem for surfaces
= Riemann–Roch theorem for surfaces
{wiki=Riemann–Roch_theorem_for_surfaces}
The Riemann–Roch theorem for surfaces is a powerful result in algebraic geometry that relates the geometry of a smooth projective surface to the properties of line bundles (or divisor class) on that surface. More specifically, the theorem provides a formula that relates the dimensions of certain vector spaces of global sections of line bundles or divisors.