2018/01/14 by Carlini, Enrico, Catalisano, Maria Virginia, Guardo, Elena +1
#14M99 #14T05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1801.04579
Bocci, Carlini, and Kileel have shown that the square-free Hadamard product of a finite set of points Z that all lie on a line ℓ in ℙn 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.