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This article is available for purchase or by subscription. See below.
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.
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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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