  We analyse with the algebraic, regularisation independent, cohomological
B.R.S. methods, the renormalisability of torsionless N=2 supersymmetric
non-linear sigma models built on Kahler spaces. Surprisingly enough with
respect to the common wisdom, we obtain an anomaly candidate, at least in the
compact Ricci-flat case. In the compact homogeneous Kahler case, as expected,
the anomaly candidate disappears.
