On Hermitian varieties in $\mathrm{PG}(6,q^2)$

Angela Aguglia; Luca Giuzzi; Masaaki Homma

doi:10.26493/1855-3974.2358.3c9

On Hermitian varieties in $\mathrm{PG}(6,q^2)$

Combinatorics 2021-06-01 v3 Discrete Mathematics

Authors: Angela Aguglia , Luca Giuzzi , Masaaki Homma

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

In this paper we characterize the non-singular Hermitian variety ${\mathcal H}(6,q^2)$ of $\mathrm{PG}(6, q^2)$ , $q\neq2$ among the irreducible hypersurfaces of degree $q+1$ in $\mathrm{PG}(6, q^2)$ not containing solids by the number of its points and the existence of a solid $S$ meeting it in $q^4+q^2+1$ points.

Keywords

linear sets

Cite

@article{arxiv.2006.04099,
  title  = {On Hermitian varieties in $\mathrm{PG}(6,q^2)$},
  author = {Angela Aguglia and Luca Giuzzi and Masaaki Homma},
  journal= {arXiv preprint arXiv:2006.04099},
  year   = {2021}
}

Comments

13 pages/revised version

Related papers

View all related →