English

Weak Hadamard Star Configurations and Apolarity

Algebraic Geometry 2019-12-24 v3

Abstract

In [7] the authors have introduced a new construction using the Hadamard product to present star configurations of codimension c c of Pn\mathbb{P}^n and which they called Hadamard star configurations. In this paper, 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 c=n , we investigate the existence of a (weak) Hadamard star configuration apolar to the generic homogeneous polynomials of degree d d.

Keywords

Cite

@article{arxiv.1810.10606,
  title  = {Weak Hadamard Star Configurations and Apolarity},
  author = {Iman Bahmani Jafarloo and Gabriele Calussi},
  journal= {arXiv preprint arXiv:1810.10606},
  year   = {2019}
}
R2 v1 2026-06-23T04:51:51.609Z