  In this paper, we define a module of Stark systems over a complete Gorenstein
local ring with a finite residue field of odd characteristic. Under some mild
assumptions, we show that it is free of rank one and that these systems control
all the Fitting ideals of the Pontryagin dual of the dual Selmer group. These
results generalize the work of B. Mazur and K. Rubin on Stark systems over a
principal ideal ring.
