Vol. 8, No. 1, 2008

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Constructing the Tits ovoid from an elliptic quadric

William Cherowitzo

Vol. 8 (2008), No. 1, 73–79

This note details the construction of the Tits ovoid in PG(3,22e1), e 2, starting with an elliptic quadric in this space. The method employs a special type of net replacement which is here called oval derivation applied to a plane representation of the elliptic quadric.

elliptic quadrics, Tits ovoid, plane representation theorem, oval derivation
Mathematical Subject Classification 2000
Primary: 51E21
Received: 6 August 2007
Accepted: 28 October 2007
William Cherowitzo
University of Colorado at Denver
United States