We calculate the asymptotic behavior of the curvature scalar (Riemann)(2) n
ear the null weak singularity at the inner horizon of a generic spinning bl
ack hole, and show that this scalar oscillates an infinite number of times
while diverging. The dominant parallel-propagated Riemann components oscill
ate in a similar manner. This oscillatory behavior, which is a remarkable c
ontrast to the monotonic mass-inflation singularity in spherical charged bl
ack holes, is caused by the dragging of inertial frames due to the black ho
le's spin.