Uniform bounds for periods of endomorphisms of varieties

Suppose X is a variety defined over a finite extension K of Qp and suppose X admits a model X defined over the ring of integers R of K. Let f:X→X be an endomorphism of X defined over K that can be extended to an endomorphism of X defined over R. We apply a method of Fakhruddin to prove an explicit upper bound for the primitive period of periodic points defined over R.