Abstract
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 $\ell $ in $\mathbb {P}^n$ 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.
Funding Statement
The first and second authors thank McMaster University for support while visiting the fourth author. The first and second authors were also supported by GNSAGA of INDAM funds. The fourth author acknowledges the financial support provided by NSERC. This research was partially supported by MIUR grant Dipartimenti di Eccellenza 2018–2022, grant No. E11G18000350001.
Citation
Enrico Carlini. Maria Virginia Catalisano. Elena Guardo. Adam Van Tuyl. "Hadamard star configurations." Rocky Mountain J. Math. 49 (2) 419 - 432, 2019. https://doi.org/10.1216/RMJ-2019-49-2-419
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