Ovals in translation hyperovals and ovoids

C.M. O'Keefe; Tim Penttila

doi:10.1006/eujc.1996.0127

Ovals in translation hyperovals and ovoids

C.M. O'Keefe, Tim Penttila

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

Let O be an ovoid of PG(3,q), q even, such that each secant plane section is an oval contained in a translation hyperoval. Then O is shown to be either an elliptic quadric or a Tits ovoid. (C) 1997 Academic Press Limited.

Original language	English
Pages (from-to)	667-683
Journal	European Journal of Combinatorics
Volume	18
DOIs	https://doi.org/10.1006/eujc.1996.0127
Publication status	Published - 1997

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O'Keefe, C. M., & Penttila, T. (1997). Ovals in translation hyperovals and ovoids. European Journal of Combinatorics, 18, 667-683. https://doi.org/10.1006/eujc.1996.0127

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abstract = "Let O be an ovoid of PG(3,q), q even, such that each secant plane section is an oval contained in a translation hyperoval. Then O is shown to be either an elliptic quadric or a Tits ovoid. (C) 1997 Academic Press Limited.",

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AB - Let O be an ovoid of PG(3,q), q even, such that each secant plane section is an oval contained in a translation hyperoval. Then O is shown to be either an elliptic quadric or a Tits ovoid. (C) 1997 Academic Press Limited.

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DO - 10.1006/eujc.1996.0127

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10.1006/eujc.1996.0127