  The Abstract for this revised version is the following:
  Let k be a number field, let C be a smooth, projective and geometrically
integral k-curve and let p:X --> C be a Severi-Brauer k-fibration of squarefree
index. Various authors have studied the cokernel of the natural map
CH_{0}(X/C)-->\bigoplus_{v}CH_{0}(X_{v}/C_{v}), where CH_{0}(X/C) is the kernel
of p_{*}:CH_{0}(X)-->CH_{0}(C). In this paper I obtain an exact sequence which
relates the Tate-Shafarevich group of the kernel of the above map to the
Tate-Shafarevich group of the Neron-Severi torus of X. I then obtain conditions
under which these two groups agree.
