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Threefolds of the Klein quadric and trisecant lines

โœ Scribed by Edoardo Ballico; Antonio Cossidente

Publisher
Springer
Year
2000
Tongue
English
Weight
192 KB
Volume
69
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES

Minimal Covers of the Klein Quadric
Minimal Covers of the Klein Quadric
โœ J. Eisfeld; L. Storme; P. Sziklai ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

A t-cover of a quadric Q is a set C of t-dimensional subspaces contained in Q such that every point of Q belongs to at least one element of C. We consider t-covers of the Klein quadric Q + (5, q). For t=2, we show that a 2-cover has at least q 2 +q elements, and we give an exact description of the e

On a set of lines of PG(3,q) correspondi
On a set of lines of PG(3,q) corresponding to a maximal cap contained in the Klein quadric of PG (5,q)
โœ David G. Glynn ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer ๐ŸŒ English โš– 371 KB

The problem is considered of constructing a maximal set of lines, with no three in a pencil, in the finite projective geometry PG(3, q) of three dimensions over GF(q). (A pencil is the set of q + 1 lines in a plane and passing through a point.) It is found that an orbit of lines of a Singer cycle of