Ovoids with a pencil of translation ovals

C.M. O'Keefe, Tim Penttila

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    We show that if an ovoid of PG(3, p), where q > 2 is even, has a pencil of translation ovals and if the carrier of the pencil is not an axis of at least one of the ovals in the pencil, then the ovoid is a Tits ovoid. It follows, as a corollary of this and a result of Penttila and Praeger, that if an ovoid of PG(3, q), where q > 2 is even, has a pencil of translation ovals then the ovoid is either an elliptic quadric or a Tits ovoid.
    Original languageEnglish
    Pages (from-to)19-34
    JournalGeometriae Dedicata
    Volume62
    Publication statusPublished - 1996

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