  We construct a concise gauge invariant formulation for massless, partially
massless, and massive bosonic AdS fields of arbitrary symmetry type at the
level of equations of motion. Our formulation admits two equivalent
descriptions: in terms of the ambient space and in terms of an appropriate
vector bundle, as an explicitly local first-order BRST formalism. The second
version is a parent-like formulation that can be used to generate various other
formulations via equivalent reductions. In particular, we demonstrate a
relation to the unfolded description of massless and partially massless fields.
