## Twists of Drinfeld-Stuhler modular varieties

### Summary

Let $\cal A$ be a maximal (or more generally a hereditary) order in a central simple algebra over a global field $F$ of positive characteristic. We show that certain modular scheme of $\cal A$-elliptic sheaves-- for different $\cal A$ - are twists of each other and deduce that the uniformization at $\infty$ and the Cherednik-Drinfeld uniformization for these varieties are equivalent.

### Mathematics Subject Classification

11G09, 11G18, 14G22

### Keywords/Phrases

Drinfeld modular varieties, rigid analytic uniformization