  Let $S$ be a smooth, totally real, compact immersion in $\mathbb{C}^n$ of
real dimension $m \leq n$, which is locally polynomially convex and it has
finitely many points where it self-intersects finitely many times, transversely
or non-transversely. We prove that $S$ is rationally convex if and only if it
is isotropic with respect to a "degenerate" K\"ahler form in $\mathbb{C}^n$.
