  A smooth real curve is called separating in case the complement of the real
locus inside the complex locus is disconnected. This is the case if there
exists a morphism to the projective line whose inverse image of the real locus
of the projective line is the real locus of the curve. Such morphism is called
a separating morphism. The minimal degree of a separating morphism is called
the separating gonality. The separating gonality cannot be less than the number
s of the connected components of the real locus of the curve. A theorem of
Ahlfors implies this separating gonality is at most the g+1 with g the genus of
the curve. A better upper bound depending on s is proved by Gabard. In this
paper we prove that there are no more restrictions on the values of the
separating gonality.
