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Ovoids of PG(3,q), q Even, with a Conic Section
Authors:Brown   Matthew R.
Affiliation:Department of Pure Mathematics and Computer Algebra, Ghent University Gent B9000, Belgium, mbrown{at}cage.rug.ac.be
Abstract:It is shown that if a plane of PG(3,q), q even, meets an ovoidin a conic, then the ovoid must be an elliptic quadric. Thisis proved by using the generalized quadrangles T2(C) (C a conic),W(q) and the isomorphism between them to show that every secantplane section of the ovoid must be a conic. The result thenfollows from a well-known theorem of Barlotti.
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