Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- On maximum size anti-Pasch sets of triples
- Some simple 7–designs
- Inscribed bundles, Veronese surfaces and caps
- Embedding partial geometries in Steiner designs
- Finite geometry after Aschbacher's Theorem: PGL(n, q) from a Kleinian viewpoint
- The Hermitian function field arising from a cyclic arc in a Galois plane
- Intercalates everywhere
- Difference sets: an update
- Computational results for the known biplanes of order 9
- A survey of small embeddings for partial cycle systems
- Rosa triple systems
- Searching for spreads and packings
- A note on Buekenhout-Metz unitals
- Elation generalized quadrangles of order (q2, q)
- Uniform parallelisms of PG(3, 3)
- Double-fives and partial spreads in PG(5, 2)
- Rank three geometries with simplicial residues
- Generalized quadrangles and the Axiom of Veblen
- Talks
- Participants
Inscribed bundles, Veronese surfaces and caps
Published online by Cambridge University Press: 04 November 2009
Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- On maximum size anti-Pasch sets of triples
- Some simple 7–designs
- Inscribed bundles, Veronese surfaces and caps
- Embedding partial geometries in Steiner designs
- Finite geometry after Aschbacher's Theorem: PGL(n, q) from a Kleinian viewpoint
- The Hermitian function field arising from a cyclic arc in a Galois plane
- Intercalates everywhere
- Difference sets: an update
- Computational results for the known biplanes of order 9
- A survey of small embeddings for partial cycle systems
- Rosa triple systems
- Searching for spreads and packings
- A note on Buekenhout-Metz unitals
- Elation generalized quadrangles of order (q2, q)
- Uniform parallelisms of PG(3, 3)
- Double-fives and partial spreads in PG(5, 2)
- Rank three geometries with simplicial residues
- Generalized quadrangles and the Axiom of Veblen
- Talks
- Participants
Summary
Abstract
The Veronese correspondence maps the set of all plane conics which are tangent to the sides of a given triangle in PG(2,q), q odd, to a (2q2 – q + 2)–cap in PG(5, q) obtained as the complete intersection of three quadratic cones. This cap can also be represented as the union of two quadric Veroneseans sharing three conics pairwise meeting at one point. Some information about the (setwise) stabilizer of this cap in PGL(6, q) is also given.
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- Information
- Geometry, Combinatorial Designs and Related Structures , pp. 27 - 32Publisher: Cambridge University PressPrint publication year: 1997
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