  We explore the existence of irreducible and reducible arc-sections in an
irreducible hypersurface singularity germ along finite projections.
  In particular we provide examples of irreducible isolated hypersurface
singularities for which no irreducible arc-sections exist, and show that
reducible ones always exist. Moreover, we give an algorithm to check if a given
projection allows irreducible arc-sections, and find them if they exist.
