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The determination of ovoids of PG(3,q) containing a pointed conic

โœ Scribed by Matthew R. Brown


Book ID
105124702
Publisher
Springer
Year
2000
Tongue
English
Weight
770 KB
Volume
67
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES


On a set of lines of PG(3,q) correspondi
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

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It is shown that for fixed 1 ~ 0, if X C PG (d, q) contains (1 + ~)q~ points, then the number of r-fiats spanned by X is at least C(r.)q (r+l)ts+l-r), i.e. a positive fraction of the number of r-fiats in PG(s + 1,q).