Name
Abstract | ||
|---|---|---|
Some geometry of Hermitian matrices of order three over GF(q2) is studied. The variety coming from rank 2 matrices is a cubic hypersurface M73of PG(8,q ) whose singular points form a variety H corresponding to all rank 1 Hermitian matrices. BesideM73 turns out to be the secant variety of H. We also define the Hermitian embedding of the point-set of PG(2, q2) whose image is exactly the variety H. It is a cap and it is proved that PGL(3, q2) is a subgroup of all linear automorphisms of H. Further, the Hermitian lifting of a collineation of PG(2, q2) is defined. By looking at the point orbits of such lifting of a Singer cycle of PG(2, q2) new mixed partitions of PG(8,q ) into caps and linear subspaces are given. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1006/eujc.2001.0549 | European Journal of Combinatorics |
Keywords | Field | DocType |
singular point,hermitian matrices,finite field | Combinatorics,Secant variety,Matrix (mathematics),Automorphism,Linear subspace,Hypersurface,Hermitian function,Geometry,Hermitian matrix,Collineation,Mathematics | Journal |
Volume | Issue | ISSN |
22 | 8 | 0195-6698 |
Citations | PageRank | References |
5 | 0.75 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| antonio cossidente | 1 | 157 | 43.94 |
| Alessandro Siciliano | 2 | 21 | 5.76 |