English

Specialness and the Bose representation

Combinatorics 2019-06-11 v1

Abstract

This article looks at subconics of order qq of PG(2,q2)PG(2,q^2) and characterizes them in the Bruck-Bose representation in PG(4,q)PG(4,q). In common with other objects in the Bruck-Bose representation, the characterisation uses the transversals of the regular line spread SS associated with the Bruck-Bose representation.By working in the Bose representation of PG(2,q2)PG(2,q^2) in PG(5,q)PG(5,q), we give a geometric explanation as to why the transversals of the regular spread SS are intrinsic to the characterisation of varieties of PG(2,q2)PG(2,q^2).

Keywords

Cite

@article{arxiv.1906.03295,
  title  = {Specialness and the Bose representation},
  author = {S. G. Barwick and Wen-Ai Jackson and Peter Wild},
  journal= {arXiv preprint arXiv:1906.03295},
  year   = {2019}
}
R2 v1 2026-06-23T09:47:26.109Z