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Ovoids and monomial ovals

✍ Scribed by David G. Glynn; Christine M. O'Keefe; Tim Penttila; Cheryl E. Praeger

Publisher: Springer
Year: 1996
Tongue: English
Weight: 904 KB
Volume: 59
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181693

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✦ Synopsis

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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