  A genus-g du Val curve is a degree-3g plane curve having 8 points of
multiplicity g, one point of multiplicity g-1, and no other singularity. We
prove that the corank of the Gauss-Wahl map of a general du Val curve of odd
genus (>11) is equal to one. This, together with the results of [1], shows that
the characterisation of Brill-Noether-Petri curves with non-surjective
Gauss-Wahl map as hyperplane sections of K3 surfaces and limits thereof,
obtained in [3], is optimal.
