Ovoids of $$Q^+(7,q)$$ of low-degree
Abstract
Abstract Ovoids of the hyperbolic quadric $$Q^+(7,q)$$ Q + ( 7 , q ) of $$\textrm{PG}(7, q)$$ PG ( 7 , q ) have been extensively studied over the past 40 years, partly due to their connections with other combinatorial objects. It is well known that the points of an ovoid of $$Q^+(7,q)$$ Q + ( 7 , q ) can be parametrized by three polynomials $$f_1(X,Y, Z)$$ f 1 ( X , Y , Z ) , $$f_2(X,Y, Z)$$ f 2 ( X , Y , Z ) , $$f_3(X,Y, Z)$$ f 3 ( X , Y , Z ) . In this paper, we classify ovoids of $$Q^+(7,q)$$ Q + ( 7 , q ) of low degree, specifically under the assumption that $$f_1(X,Y, Z)$$ f 1 ( X , Y , Z ) , $$f_2(X,Y, Z)$$ f 2 ( X , Y , Z ) , $$f_3(X,Y, Z)$$ f 3 ( X , Y
Fields of Study & Subjects
Finite Group Theory Research
Advanced Combinatorial Mathematics
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of Algebraic Combinatorics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 64
- Issue
- 1
- Publication date
- 17 July 2026
- Language
- EN