关于曲线的Alexander-Wermer定理的注记
Remarks on the Alexander-Wermer Theorem for Curves
摘要：
利用C^n中有向曲线与其补数中代数圈的环绕数给出了一个新的Alexander-Wermer定理的证明.事实上，我们建立了一个稍微强大的版本，适用于更广泛的一类边界1-圈。这里的论证是基于Hahn-Banach定理和一些几何测度论。原始校样中的几个成分已被删除。
英文摘要：
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.
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