Journal of Statistical Physics, Vol. 58, Nos. 5/6, 1990, p. 1127-1135.
We explicitly calculate the zero-field magnetic susceptibility of the anisotropic Kagome lattice Ising model on two different varieties of the parameter space. One of them is the limit H = 0 of the solubility condition, obtained in a previous paper by Giacomini, for the model with magnetic field. The other one is the disorder variety of the model, for which a dimensional reduction occurs. These varieties do not contain any nontrivial critical behavior of the model. A functional relation is also established, which relates the zero-field susceptibility for ferromagnetic and competing interactions.