English

Generalised Veroneseans

Metric Geometry 2013-09-10 v1 Representation Theory

Abstract

In \cite{ThasHVM}, a characterization of the finite quadric Veronesean Vn2n\mathcal{V}_{n}^{2^{n}} by means of properties of the set of its tangent spaces is proved. These tangent spaces form a {\em regular generalised dual arc}. We prove an extension result for regular generalised dual arcs. To motivate our research, we show how they are used to construct a large class of secret sharing schemes.

Keywords

Cite

@article{arxiv.1309.2008,
  title  = {Generalised Veroneseans},
  author = {Andreas Klein and Jeroen Schillewaert and Leo Storme},
  journal= {arXiv preprint arXiv:1309.2008},
  year   = {2013}
}
R2 v1 2026-06-22T01:23:01.751Z