O ct 2 00 6 REMARKS ON THE ALEXANDER - WERMER THEOREM FOR CURVES
نویسندگان
چکیده
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.
منابع مشابه
Remarks on the Alexander-wermer Theorem for Curves
We give a new proof of the Alexander-Wermer Theorem that characterizes the oriented curves in C 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 m...
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