Ovoids and monomial ovals |
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| Authors: | David G Glynn Christine M O'Keefe Tim Penttila Cheryl E Praeger |
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| Institution: | (1) Department of Mathematics and Statistics, University of Canterbury, PO Box 4800, 8001 Christchurch, New Zealand;(2) Department of Pure Mathematics, The University of Adelaide, 5005 Adelaide, Australia;(3) Department of Mathematics, The University of Western Australia, 6009 Nedlands, W.A., Australia |
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| Abstract: | This paper is a contribution to the classification of ovoids. We show, under some rather technical assumptions, that if an ovoid of PG(3, q) has a pencil of monomial ovals, then it is either an elliptic quadric or a Tits ovoid. Further, we show that if an ovoid of PG(3, q) has a bundle of translation ovals, again under some extra assumptions, then the ovoid is an elliptic quadric or a Tits ovoid. |
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| Keywords: | 51E21 |
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