Archivio Istituzionale della RicercaBocci, Carlini and Kileel have shown that the square-free Hadamard product of a finite set of points Z that all lie on a line ` 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.
Hadamard star configurations / Carlini, E.; Catalisano, M. V.; Guardo, E.; Van Tuyl, A.. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - STAMPA. - 49:2(2019), pp. 419-432. [10.1216/RMJ-2019-49-2-419]
Hadamard star configurations
Carlini E.;
2019
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 ` 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.
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CCGVT_hadamard_starconfig_final.pdf
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Hadamard_Star_Configurations.pdf
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2a Post-print versione editoriale / Version of Record
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https://hdl.handle.net/11583/2781472