Embedding of a Maximal Curve in a Hermitian Variety

Let X be a projective, geometrically irreducible, non-singular, algebraic curve defined over a finite field Fq² of order q². If the number of Fq²-rational points of X satisfies the Hasse–Weil upper bound, then X is said to be Fq²-maximal. For a point P₀ X(Fq²), let be the morphism arising from the linear series D: = |(q + 1)P₀|, and let N: = dim(D). It is known that N 2 and that is independent of P₀ whenever X is Fq²-maximal.