Twists of Drinfeld--Stuhler Modular Varieties

Let $\cA$ 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 $\cA$-elliptic sheaves-- for different $\cA$ -- are twists of each other and deduce that the {\it uniformization at $\infty$} and the {\it Cherednik-Drinfeld uniformization} for these varieties are equivalent.

2010 Mathematics Subject Classification: Primary 11G09; Secondary 11G18, 14G22

Keywords and Phrases: Drinfeld modular varieties, rigid analytic uniformization

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