Ovoids and monomial ovals

D.G. Glynn, C.M. O'Keefe, Tim Penttila, Cheryl Praeger

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)223-241
    JournalGeometriae Dedicata
    Volume59
    Publication statusPublished - 1996

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