under two distinct morphisms from$S$ to $B_V$ yield non-isomorphic $V$-ferns over $S$, concluding the proof of the main theorem.

Results on morphisms of moduli spaces
-------------------------------------

After proving the Main Theorem, we provide some additional results concerning certain natural morphisms amongst the schemes $B_V$ and $Q_V$ and $P_V$, where $V$ may also vary. More precisely, we relate them to the various constructions involving $V$-ferns described above. Contraction and grafting correspond to morphisms $B_V\to B_{V'}$ and $B_{V'}\times B_{\oV}\to B_V$ respectively, whereas the two line bundle constructions give morphisms $B_V\to P_V$ and $B_V\to Q_V$. We will show that all of these agree with the natural morphisms between the same schemes described in [@P-Sch] (see Propositions \[PVmorph\], \[contrmorph\], \[graftingmorph\] and \[QVmorph\]).

Outlook for the general case
----------------------------

We conclude the introduction with a short word on the generalization to Drinfeld modular varieties $M^n_{A,I}$ for arbitrary $A$ and $(0)\neq I\subsetneq A$. In [@Pink], Pink defines the Satake compactification of $M^n_{A,I}$ to be a normal integral proper variety $\overline{M}^n_{A,I}$ with an open embedding $M^n_{A,I}\into \overline{M}^n_{A,I}$, which satisfies a certain universal property. In proving the existence of such a compactification, he reduces to the case of Drinfeld ${{\mathbb{F}}}_q[t]$-modules with level $(t)$, where the Satake compactification is 