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Ruled quintic surfaces
in $\mathrm{PG}(6,q)$
Susan G. Barwick |
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Vol. 17 (2019), No. 1, 25–41
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Abstract |
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We look at a scroll of that uses a projectivity to rule a conic and a twisted cubic. We show this scroll is a ruled quintic surface , and study its geometric properties. The motivation in studying this scroll lies in its relationship with an -subplane of via the Bruck–Bose representation. |
Keywords
projective space, varieties, scroll, Bruck–Bose
representation
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Mathematical Subject Classification 2010
Primary: 51E20
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Milestones
Received: 15 September 2016
Accepted: 22 October 2018
Published: 19 November 2018
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Authors |
| Susan G. Barwick | |
| School of Mathematical
Sciences University of Adelaide Adelaide Australia |
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