Ricerc@Sapienza

We prove that the only symplectic semifield spreads of PG(5,q^2), q>= 2^14, even, whose associated semifield has center containing F_q, is the Desarguesian spread, by proving that the only F_q-linear set of rank 6 disjoint from the secant variety of the Veronese surface of PG(5,q^2) is a plane with three points of the Veronese surface PG(5,q^6)\PG(5,q^2).