  Suppose $S$ is an affine, noetherian scheme, $X$ is a separated, noetherian
$S$-scheme, $\mathcal{E}$ is a coherent ${\mathcal{O}}_{X}$-bimodule and
$\mathcal{I} \subset T(\mathcal{E})$ is a graded ideal. We study the geometry
of the functor $\Gamma_{n}$ of flat families of truncated
$\mathcal{B}=T(\mathcal{E})/\mathcal{I}$-point modules of length $n+1$. We then
use the results of our study to show that the point modules over $\mathcal{B}$
are parameterized by the closed points of ${\mathbb{P}}_{X^{2}}(\mathcal{E})$.
When $X={\mathbb{P}}^{1}$, we construct, for any $\mathcal{B}$-point module, a
graded ${\mathcal{O}}_{X}-\mathcal{B}$-bimodule resolution.
