Bocci, Carlini, and Kileel have shown that the square-free Hadamard product of a finite set of points that all lie on a line in 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.

Hadamard Star Configurations

M. V. Catalisano;
2019-01-01

Abstract

Bocci, Carlini, and Kileel have shown that the square-free Hadamard product of a finite set of points that all lie on a line in 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.
File in questo prodotto:
File Dimensione Formato  
Hadamard.pdf

accesso chiuso

Tipologia: Documento in versione editoriale
Dimensione 306.96 kB
Formato Adobe PDF
306.96 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/934730
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 12
social impact