On the Classification of Certain Geproci Sets
摘要
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in \({\mathbb P}^3\) . We apply these methods to show that among sets of 16 points distributed evenly on 4 skew lines, up to projective equivalence there are only two distinct geproci sets. We give different geometric distinctions between these sets. The methods we develop here can be applied in a more general set-up; this is the context of follow-up work [2].