  We consider mixed integer linear programs where free integer variables are
expressed in terms of nonnegative continuous variables. When this model only
has two integer variables, Dey and Louveaux characterized the intersection cuts
that have infinite split rank. We show that, for any number of integer
variables, the split rank of an intersection cut generated from a bounded
convex set $P$ is finite if and only if the integer points on the boundary of
$P$ satisfy a certain "2-hyperplane property". The Dey-Louveaux
characterization is a consequence of this more general result.
