 It is also possible to iterate the construction infinitely often, producing an infinite sequence "P"0, "P"1... of infinitely near points.These infinite sequences correspond to the 0-dimensional valuations of the function field of the surface, which correspond to the "0-dimensional" points of the Zariski–Riemann surface.If "C" and "D" are distinct irreducible curves on a smooth surface "S" intersecting at a point "p", then the multiplicity of their intersection at "p" is given by 
where "m""x"("C") is the multiplicity of "C" at "x".