  A general hypersurface $X$ of degree $\leq n$ in projective space contains
curves $C$ of any genus $g\geq 0$ and sufficiently large degree depnding on $g$
whose normal and conormal bundles have good postulation or natural cohomology
in the sense that each twist has either $H^0=0$ or $H^1=0$. This implies a
polarized version of the interpolation property for $C$ on $X$.
