The Betten-Walker spread and Cayley's ruled cubic surface
Algebraic Geometry
2013-04-02 v1 Differential Geometry
Abstract
We establish that, over certain ground fields, the set of osculating tangents of Cayley's ruled cubic surface gives rise to a (maximal partial) spread which is also a dual (maximal partial) spread. It is precisely the Betten-Walker spreads that allow for this construction. Every infinite Betten-Walker spread is not an algebraic set of lines, but it turns into such a set by adding just one pencil of lines.
Keywords
Cite
@article{arxiv.1304.0231,
title = {The Betten-Walker spread and Cayley's ruled cubic surface},
author = {Hans Havlicek and Rolf Riesinger},
journal= {arXiv preprint arXiv:1304.0231},
year = {2013}
}