Intersection number of a Cartier divisor with a curve (source code)

= Intersection number of a Cartier divisor with a curve
{title2=$D\cdot C$}

= Intersection number
{synonym}

The intersection number $D\cdot C$ is the degree of the restriction of $\mathcal O_X(D)$ to the complete integral curve $C$. On a smooth surface, proper effective intersections are sums of local <intersection multiplicities>.