Results on Maximal Partial Spreads in PG(3, p 3) and on Related Minihypers

This article classifies all {(q + 1), 3, q}-minihypers, small, q = p^h₀, h 1, for a prime number p₀ 7, which arise from a maximal partial spread of deficiency . When q is a third power, the minihyper is the disjoint union of projected PG(5, )'s; when q is a square, also Baer subgeometries PG(3, ) can occur. This leads to a discrete spectrum for the small values of the deficiency of the corresponding maximal partial spreads.