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 P^n produces a star configuration of codimension n In this paper we introduce a construction using the Hadamard product to construct star configurations of codimension c. In the case that c = n= 2, 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.
Hadamard Star Configurations
M. V. Catalisano;
2019-01-01
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 P^n produces a star configuration of codimension n In this paper we introduce a construction using the Hadamard product to construct star configurations of codimension c. In the case that c = n= 2, 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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