Innovations in Incidence Geometry
- Innov. Incidence Geom.
- Volume 12, Number 1 (2011), 21-34.
Parallelisms of quadric sets
In this article, it is shown that every flock of a hyperbolic quadric and every flock of a quadratic cone in , for a field, is in a transitive parallelism of or , respectively. Furthermore, it is shown it is possible to have parallelisms of quadratic cones by maximal partial flocks. The theory of parallelisms of quadratic cones is generalized to analogous results for parallelisms of -cones.
Innov. Incidence Geom., Volume 12, Number 1 (2011), 21-34.
Received: 31 August 2009
Accepted: 25 September 2009
First available in Project Euclid: 28 February 2019
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Cherowitzo, William E.; Johnson, Norman L. Parallelisms of quadric sets. Innov. Incidence Geom. 12 (2011), no. 1, 21--34. doi:10.2140/iig.2011.12.21. https://projecteuclid.org/euclid.iig/1551323064