On $m$-ovoids of $Q^+(7,q)$ with $q$ odd
Combinatorics
2024-03-04 v2
Abstract
In this paper, we provide a construction of -ovoids of the hyperbolic quadric , an odd prime power, by glueing -ovoids of the elliptic quadric . This is possible by controlling some intersection properties of (putative) -ovoids of elliptic quadrics. It yields eventually -ovoids of not coming from a -system. Secondly, we also construct -ovoids for in . Therefore we first investigate how to construct spreads of that have as many secants to an elliptic quadric as possible.
Cite
@article{arxiv.2307.03542,
title = {On $m$-ovoids of $Q^+(7,q)$ with $q$ odd},
author = {Sam Adriaensen and Jan De Beule and Giovanni Giuseppe Grimaldi and Jonathan Mannaert},
journal= {arXiv preprint arXiv:2307.03542},
year = {2024}
}