English

A geometric characterisation of Desarguesian spreads

Combinatorics 2017-03-09 v3

Abstract

We provide a characterisation of (n1)(n-1)-spreads in PG(rn1,q)\mathrm{PG}(rn-1,q) that have rr normal elements in general position. In the same way, we obtain a geometric characterisation of Desarguesian (n1)(n-1)-spreads in PG(rn1,q)\mathrm{PG}(rn-1,q), r>2r>2.

Keywords

Cite

@article{arxiv.1504.01915,
  title  = {A geometric characterisation of Desarguesian spreads},
  author = {Sara Rottey and John Sheekey},
  journal= {arXiv preprint arXiv:1504.01915},
  year   = {2017}
}