Name
Abstract | ||
|---|---|---|
Kestenband [Unital intersections in finite projective planes, Geom. Dedicata 11(1) (1981) 107-117; Degenerate unital intersections in finite projective planes, Geom. Dedicata 13(1) (1982) 101-106] determines the structure of the intersection of two Hermitian curves of PG(2,q^2), degenerate or not. In this paper we give a new proof of Kestenband's results. Giuzzi [Hermitian varieties over finite field, Ph.D. Thesis, University of Sussex, 2001] determines the structure of the intersection of two non-degenerate Hermitian surfaces H and H^' of PG(3,q^2) when the Hermitian pencil defined by H and H^' contains at least one degenerate Hermitian surface. We give a new proof of Giuzzi's results and we obtain some new results in the open case when all the Hermitian surfaces of the Hermitian pencil are non-degenerate. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.disc.2007.09.041 | Discrete Mathematics |
Keywords | Field | DocType |
hermitian surface,hermitian curve,finite field | Hermitian manifold,Degenerate energy levels,Combinatorics,Finite field,Unital,Pencil (mathematics),Hermitian symmetric space,Projective plane,Hermitian matrix,Mathematics | Journal |
Volume | Issue | ISSN |
308 | 22 | Discrete Mathematics |
Citations | PageRank | References |
1 | 0.38 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giorgio Donati | 1 | 18 | 6.36 |
| Nicola Durante | 2 | 27 | 10.53 |