Twists of Drinfeld–Stuhler Modular Varieties

  • Michael Spieß


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