کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4650460 | 1342488 | 2008 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the intersection of Hermitian curves and of Hermitian surfaces On the intersection of Hermitian curves and of Hermitian surfaces](/preview/png/4650460.png)
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,q2)PG(2,q2), 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 HH and H′H′ of PG(3,q2)PG(3,q2) when the Hermitian pencil defined by HH and H′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.
Journal: Discrete Mathematics - Volume 308, Issue 22, 28 November 2008, Pages 5196–5203