Remarks on the Alexander-Wermer Theorem for Curves
F. Reese Harvey, H. Blaine Lawson
Abstract
We give a new proof of the Alexander-Wermer Theorem that characterizes the oriented curves in Cn 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.
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