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Applications of line geometry over finite fields II. The Hermitian surface

✍ Scribed by A. A. Bruen; J. W. P. Hirschfeld

Publisher
Springer
Year
1978
Tongue
English
Weight
923 KB
Volume
7
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

On the Geometry of Hermitian Matrices of
On the Geometry of Hermitian Matrices of Order Three Over Finite Fields
✍ Antonio Cossidente; Alessandro Siciliano πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 139 KB

Some geometry of Hermitian matrices of order three over GF(q 2 ) is studied. The variety coming from rank 2 matrices is a cubic hypersurface M 3 7 of PG(8, q) whose singular points form a variety H corresponding to all rank 1 Hermitian matrices. Beside M 3 7 turns out to be the secant variety of H.