Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
Full metadata record
|dc.identifier.citation||European Journal of Combinatorics, 2005; 26(1):117-128||-|
|dc.description.abstract||An ovoid of PG(3,q) can be defined as a set of q2+1 points with the property that every three points span a plane and at every point there is a unique tangent plane. In 2000 M.R. Brown (J. Geom. 67 (2000) 61) proved that if an ovoid of PG(3,q), q even, contains a pointed conic, then either q=4 and the ovoid is an elliptic quadric, or q=8 and the ovoid is a Tits ovoid. Generalising the definition of an ovoid to a set of (n-1)-spaces of PG(4n-1,q), J.A. Thas (Rend. Mat. (6) 4 (1971) 459) introduced the notion of pseudo-ovoids or eggs: a set of q2n+1(n-1)-spaces in PG(4n-1,q), with the property that any three egg elements span a (3n-1)-space and at every egg element there is a unique tangent (3n-1)-space. We prove that an egg in PG(4n-1,q), q even, contains a pseudo-pointed conic, that is, a pseudo-oval arising from a pointed conic of PG(2,qn), q even, if and only if the egg is elementary and the ovoid is either an elliptic quadric in PG(3,4) or a Tits ovoid in PG(3,8). © 2004 Elsevier Ltd. All rights reserved.||-|
|dc.description.statementofresponsibility||Matthew R. Brown, Michel Lavrauw||-|
|dc.publisher||Academic Press Ltd Elsevier Science Ltd||-|
|dc.title||Eggs in PG(4n - 1,q)q even, containing a pseudo-pointed conic||-|
|Appears in Collections:||Aurora harvest 6|
Pure Mathematics publications
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.