Abstract
At the moment we are woefully lacking a sufficient condition for two subschemes in to be in the same liaison class, except for the case of codimension 2. On the other hand, a theorem of Schenzel gives a good necessary condition in any codimension < n. In this article we first give a new proof of this theorem. We then apply this result to certain curves in P 4 by considering hyperplane sections. Specifically, if C is a collection of t skew lines in P 4, we ask when C can be linked to another set of skew lines under the extreme conditions where C is degenerate and where C is general.
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