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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
CCGVT_hadamard_starconfig_final.pdf
accesso aperto
Tipologia:
1. Preprint / submitted version [pre- review]
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
288.12 kB
Formato
Adobe PDF
|
288.12 kB | Adobe PDF | Visualizza/Apri |
|
Hadamard_Star_Configurations.pdf
accesso aperto
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Pubblico - Tutti i diritti riservati
Dimensione
212.91 kB
Formato
Adobe PDF
|
212.91 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2781472