Abstract :
A lower bound for the size of a maximal partial spread of image is given. For image in general, and for image in particular, new upper bounds for this size are also obtained. In [A. Aguglia, A. Cossidente, G.L. Ebert, Complete spans on Hermitian varieties, in: Proceedings of the Conference on Finite Geometries (Oberwolfach, 2001), vol. 29, 2003, pp. 7–15.], maximal partial spreads of image and image have been constructed from spreads of image and image, respectively; the construction for image will be generalized to image, image, thus yielding examples of maximal partial spreads of image for all image.
