Ovoids ofPG(3, 16) are elliptic quadrics,II |
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| Authors: | Christine M O'Keefe Tim Penttila |
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| Institution: | (1) Department of Pure Mathematics, The University of Adelaide, G.P.O. Box 498, 5001 Adelaide, S.A., Australia;(2) Department of Mathematics, The University of Western Australia, 6009 Nedlands, W.A., Australia |
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| Abstract: | In a previous paper 8] the authors have shown that every ovoid ofPG(3, 16) is an elliptic quadric. The arguments used a computer and also depended on the computer-aided classification of hyperovals ofPG(2, 16) (see 3]). Recently (see 9]) the classification of hyperovals ofPG(2,16) has been obtained without the use of a computer. The present paper completes a computer-free proof that every ovoid ofPG(3,16) is an elliptic quadric. |
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