Title: Ovoids of PG(3,<i>q</i> ), <i>q</i> Even, with a Conic Section
Abstract:It is shown that if a plane of PG(3,q), q even, meets an ovoid in a conic, then the ovoid must be an elliptic quadric. This is proved by using the generalized quadrangles T2(C) (C a conic), W(q) and t...It is shown that if a plane of PG(3,q), q even, meets an ovoid in a conic, then the ovoid must be an elliptic quadric. This is proved by using the generalized quadrangles T2(C) (C a conic), W(q) and the isomorphism between them to show that every secant plane section of the ovoid must be a conic. The result then follows from a well-known theorem of Barlotti.Read More
Publication Year: 2000
Publication Date: 2000-10-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 33
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