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The Lunelli-Sce hyperoval inPG(2, 16)

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Abstract

This irregular hyperoval, found by computer search in 1958, has many interesting and unusual properties. We provide a synthetic construction of this hyperoval, use the construction to determine the full group of automorphisms of the hyperoval, provide computer-free proofs of its known properties and introduce some new results concerning the intersection of this hyperoval and conics in the given plane.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, York University, 4700 Keele Street, M3J 1P3, Toronto, Ontario, Canada

    Julia M. N. Brown

  2. Department of Mathematics, University of Colorado at Denver, Campus Box 170, P.O. Box 173364, 80217-3364, Denver, CO, USA

    William E. Cherowitzo

Authors
  1. Julia M. N. Brown
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  2. William E. Cherowitzo
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Brown, J.M.N., Cherowitzo, W.E. The Lunelli-Sce hyperoval inPG(2, 16). J Geom 69, 15–36 (2000). https://doi.org/10.1007/BF01237471

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  • DOI: https://doi.org/10.1007/BF01237471

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