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June 2020 Weak Hadamard star configurations and apolarity
Iman Bahmani Jafarloo, Gabriele Calussi
Rocky Mountain J. Math. 50(3): 851-862 (June 2020). DOI: 10.1216/rmj.2020.50.851

Abstract

Recently, Carlini, Catalisano, Guardo and Van Tuyl introduced a new construction using the Hadamard product to present star configurations of codimension c of n and which they called Hadamard star configurations. We introduce a more general type of Hadamard star configuration; any star configuration constructed by our approach is called a weak Hadamard star configuration. We classify weak Hadamard star configurations, and in the case c=n, we investigate the existence of a (weak) Hadamard star configuration which is apolar to the generic homogeneous polynomials of degree d.

Citation

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Iman Bahmani Jafarloo. Gabriele Calussi. "Weak Hadamard star configurations and apolarity." Rocky Mountain J. Math. 50 (3) 851 - 862, June 2020. https://doi.org/10.1216/rmj.2020.50.851

Information

Received: 30 December 2018; Revised: 15 November 2019; Accepted: 20 November 2019; Published: June 2020
First available in Project Euclid: 29 July 2020

zbMATH: 07235584
MathSciNet: MR4132614
Digital Object Identifier: 10.1216/rmj.2020.50.851

Subjects:
Primary: 14M99, 14T05

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 3 • June 2020
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