In this short note we develop new methods toward the ultimate goal of classifying geproci sets in P3. 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].
Chiantini L., Farnik Ł., Favacchio G., Harbourne B., Migliore J., Szemberg T., et al. (2024). On the Classification of Certain Geproci Sets. In U. Nagel, et al. (a cura di), Lefschetz Properties Current and New Directions (pp. 81-96) [10.1007/978-981-97-3886-1_4].
On the Classification of Certain Geproci Sets
Favacchio G.;
2024-08-31
Abstract
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in P3. 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].
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