2021/02/09 by Enrico Maria Carlini, Maria Virginia Catalisano, Carlini, Enrico +5
Computer Science · Engineering · Mathematics · #13C40 #13C70 #14M10 #14M99 #14N20 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Polynomial and algebraic computation #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2102.05128
openalex publication_date 2021/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given r>n general hyperplanes in \mathbb Pn, a star configuration of points is the set of all the n-wise intersection of them. We introduce \it contact star configurations, which are star configurations where all the hyperplanes are osculating to the same rational normal curve. In this paper we find a relation between this construction and Hadamard products of linear varieties. Moreover, we study the union of contact star configurations on a same conic in \mathbb P2, we prove that the union of two contact star configurations has a special h-vector and, in some cases, this is a complete intersection.