  We develop a theory of Hodge type Rapoport-Zink formal schemes, which
uniformize certain formal completions of the canonical integral models of
Shimura varieties of Hodge type at primes of good reduction. We then apply the
general theory to the special case of Shimura varieties associated with groups
of spinor similitudes, and, in the basic case, determine explicitly the reduced
scheme underlying the Rapoport-Zink formal scheme.
