  We give a new proof of the Alexander-Wermer Theorem that characterizes the
oriented curves in C^n which bound positive holomorphic chains, in terms of the
linking numbers of the curve with algebraic cycles in the complement. In fact,
we establish a slightly stronger version which applies to a wider class of
boundary 1-cycles. Arguments here are based on the Hahn-Banach Theorem and some
geometric measure theory. Several ingredients in the original proof have been
eliminated.
