  Let K be a global field, let S be a finite set of primes of K containing the
archimedean primes and let A be an abelian variety over K. We generalize the
duality theorem established in our paper "On Neron class groups of abelian
varieties" by removing the hypothesis in [op.cit.] that the Tate-Shafarevich
group of A is finite. We also derive an exact sequence that relates the
indicated group associated to the Jacobian variety of a proper, smooth and
geometrically connected curve X over K to a certain finite subquotient of the
Brauer group of X. The sequence alluded to above may be regarded as a global
analog of an exact sequence of S.Biswas.
