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Characterizations of quadric and Hermitian Veroneseans over finite fields

โœ Scribed by Joseph A. Thas,Hendrik Van Maldeghem


Book ID
113014302
Publisher
Springer
Year
2003
Tongue
English
Weight
134 KB
Volume
76
Category
Article
ISSN
0047-2468

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On the Geometry of Hermitian Matrices of
โœ Antonio Cossidente; Alessandro Siciliano ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.