... Dembowski: Finite Geometries, Springer Verlag, Berlin, 1968 [6] G.L Ebert, G Marino, O Polverino, R Trombetti: In nite families of new semifields, to appear in Combinatorica [7] G.L Ebert, G Marino, ... simple point of Γ; if mP0 (Γ) > 1, then P0 is a singular point of Γ In particular, P0 is a double point, triple point, r–fold point if mP0 (Γ) = 2, mP0 (Γ) = 3, mP0 (Γ) = r, respectively Any point ... with coefficients in Fq2 , up to a nonzero scalar Again, since the point P∞ is an ordinary triple point for Γ and since C3 Φ is absolutely irreducible, we get that P∞ is a simple point of either...