2023/12/07 by Luca Chiantini, Pietro De Poi, Chiantini, Luca +15
Computer Science · Engineering · Mathematics · #05E14 #14M07 #14M10 #14N05 #14N20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2312.04644
openalex publication_date 2023/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this work is to pursue classification of geproci sets. Specifically we classify [m,n]-geproci sets which consist of m=4 points on each of n skew lines, assuming the skew lines have two transversals in common. We show that in this case n≤ 6. Moreover we show that all geproci sets of this type are contained in the standard construction for m=4 introduced in arXiv:2209.04820. Finally, we propose a conjectural representation for all geproci sets of this type, irrespective of the number m of points on each skew line.