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https://hdl.handle.net/2440/3441
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Type: | Journal article |
Title: | A geometrical construction of the oval(s) associated with an a-flock |
Author: | Brown, M. Thas, J. |
Citation: | Advances in Geometry, 2004; 4(1):9-17 |
Publisher: | Walter de Gruyter & Co. |
Issue Date: | 2004 |
ISSN: | 1615-715X 1615-7168 |
Editor: | Brown, M.R. Thas, J.A. |
Abstract: | It is known, via algebraic methods, that a flock of a quadratic cone in PG(3, q) gives rise to a family of q + 1 ovals of PG(2, q) and similarly that a flock of a cone over a translation oval that is not a conic gives rise to an oval of PG(2, q). In this paper we give a geometrical construction of these ovals and provide an elementary geometrical proof of the construction. Further we also give a geometrical construction of a spread of the GQ T 2(Ο) for Ο an oval corresponding to a flock of a translation oval cone in PG(3, q), previously constructed algebraically. © de Gruyter 2004. |
DOI: | 10.1515/advg.2004.010 |
Published version: | http://dx.doi.org/10.1515/advg.2004.010 |
Appears in Collections: | Aurora harvest Pure Mathematics publications |
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