Hadamard Star Configurations
Enrico Carlini, Maria Virginia Catalisano, Elena Guardo, Adam Van Tuyl

TL;DR
This paper introduces a Hadamard product-based method to construct and classify star configurations of various codimensions in projective space, generalizing previous results for codimension two.
Contribution
It presents a new construction approach for star configurations using Hadamard products and provides a complete classification of these Hadamard star configurations.
Findings
Construction method for star configurations of any codimension
Equivalence to known star configurations when codimension equals dimension
Complete classification of Hadamard star configurations
Abstract
Bocci, Carlini, and Kileel have shown that the square-free Hadamard product of a finite set of points that all lie on a line in produces a star configuration of codimension . In this paper we introduce a construction using the Hadamard product to construct star configurations of codimension . In the case that , our construction produces the star configurations of Bocci, Carlini, and Kileel. We will call any star configuration that can be constructed using our approach a Hadamard star configuration. Our main result is a classification of Hadamard star configurations.
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