  The general fluctuations, in the form of vertex operators, for the heterotic
superstring in the pure spinor formalism are considered. The case of a flat
background is reviewed and the case of a curved case is studied. The
left-moving ghosts are pure spinors and the right-moving ghosts come from
fixing the reparametrization invariance. The role of the reparametrization
ghosts in the construction of the vertex operators is emphasized.
