We know that an ice skater pulling her arms in and spinning faster is an example of the conservation of angular momentum. As stars collapse to become Neutron stars, the rotational period can be as low as 0.001 seconds, again to conserve angular momentum. So what happens to this angular momentum when a very large star collapses to a black hole - ie a singularity? How can a dimensionless point have angular momentum? Is it conserved?