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arXiv · 2303.16263

On the classification of certain geproci sets

Luca Chiantini·Lucja Farnik·Giuseppe Favacchio·Brian Harbourne·Juan Migliore·Tomasz Szemberg·Justyna Szpond
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Abstract

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 the follow-up work arXiv:2308.00761.

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Luca Chiantini, Lucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond. 2023-03-28. On the classification of certain geproci sets. https://arxiv.org/abs/2303.16263

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