  Near a singular point of a surface or a curve, geometric invariants diverge
in general, and the orders of diverge, in particular the boundedness about
these invariants represent geometry of the surface and the curve. In this
paper, we study boundedness and orders of several geometric invariants near a
singular point of a surface which is a suspension of a singular curve in the
plane and those of curves passing through the singular point. We evaluates the
orders of Gaussian and mean curvatures and them of geodesic, normal curvatures
and geodesic torsion for the curve.
