• Ovoids in the Hyperbolic Quadrics Q+ (7, q)

Abdelsalam Abou Zayda*

Abstract


In this paper we present a solution of the problem related to the construction of ovoids in Q+ (7, q), see [1]. For this purpose we use the point-line geometry D4,2(q) as an isomorphic to the finite classical polar space Q+(7,q) (Ω+(8,q)). Further, an upper bounds for the size of ovoids in Q+ (7, q) is obtained.

Keywords


Finite classical polar spaces- ovoids-point-line geometry

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