Spieß, Michael

Twists of Drinfeld-Stuhler modular varieties

Doc. Math. (Bielefeld) Extra Vol. Andrei A. Suslin's Sixtieth Birthday, 595-654 (2010)

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

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