  We investigate the spaces of rational curves on a general hypersurface. In
particular, we show that for a general degree $d$ hypersurface in
$\mathbb{P}^n$ with $n \geq d+2$, the space $\overline{\mathcal{M}_{0,0}}(X,e)$
of degree $e$ Kontsevich stable maps from a rational curve to $X$ is an
irreducible local complete intersection stack of dimension $e(n-d+1)+n-4$.
