2023/03/28 by Luca Chiantini, Łucja Farnik, Chiantini, Luca +11 · 1 citation
Computer Science · Engineering · Mathematics · #14M05 and 14M10 and 14N05 and 14N20 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2303.16263
openalex publication_date 2023/03/28 · openalex created_date 2023/04/05 · openalex updated_date 2026/07/28
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in \mathbb 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 the follow-up work arXiv:2308.00761.