منابع مشابه
On pairs of permutable Hermitian surfaces
We investigate the intersection R of two permutable Hermitian surfaces of PG(3, q2), q odd. We show that R is a determinantal variety. From the combinatorial point of view R comprises a complete (q2 + 1)-span of the two corresponding Hermitian surfaces.
متن کاملOn the intersection of Hermitian surfaces
We provide a description of the configuration arising from intersection of two Hermitian surfaces in PG(3, q), provided that the linear system they generate contains at least a degenerate variety. Mathematics Subject Classification (2000): Primary: 11E33, 51E20; Secondary: 05B25, 05B30.
متن کاملOn partial ovoids of Hermitian surfaces
Lower bounds for the size of a complete partial ovoid in a nondegenerate Hermitian surface are obtained. For even characteristic, a sharp bound is obtained and all examples of this size are described. Next, a general construction method for locally hermitian partial ovoids is explained, which leads to interesting small examples. Finally, a conjecture is given for the size of the largest complet...
متن کاملPairs of foliations on surfaces
We survey in this paper results on a particular set of Implicit Differential Equations (IDEs) on smooth surfaces, called Binary/Quadratic Differential Equations (BDEs). These equations define at most two solution curves at each point on the surface, resulting in a pair of foliations in some region of the surface. BDEs appear naturally in differential geometry and in control theory. The examples...
متن کاملA note on diagonal and Hermitian surfaces
Aspects of the properties, enumeration and construction of points on diagonal and Hermitian surfaces have been considered extensively in the literature and are further considered here. The zeta function of diagonal surfaces is given as a direct result of the work of Wolfmann. Recursive construction techniques for the set of rational points of Hermitian surfaces are of interest. The relationship...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2005
ISSN: 0012-365X
DOI: 10.1016/j.disc.2004.05.022