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.
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.
Titolo: | Hadamard star configurations |
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Data di pubblicazione: | 2019 |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1216/RMJ-2019-49-2-419 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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File | Descrizione | Tipologia | Licenza | |
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CCGVT_hadamard_starconfig_final.pdf | 1. Preprint / Submitted Version | Non Pubblico - Accesso privato/ristretto | Visibile a tuttiVisualizza/Apri | |
Hadamard_Star_Configurations.pdf | 2a Post-print versione editoriale / Version of Record | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2781472