Ja n 20 07 Twists of Drinfeld – Stuhler modular varieties By Michael Spieß
نویسنده
چکیده
In [Dr1], V. Drinfeld has introduced the analogues of Shimura varieties for GLd over a global field F of positive characteristic. Following a suggestion of U. Stuhler the corresponding varieties for an inner form of GLd, i.e. the group of invertible elements A of a central simple algebra A of dimension d over F , have been introduced by Laumon, Rapoport and Stuhler in [LRS]. For d = 2 these are the analogues of Shimura curves. In this paper we show that some of these varieties (for different A) are twists of each other. This result can be viewed as a global variant of the Cherednik-Drinfeld Theorem for Shimura curves.
منابع مشابه
Twists of Drinfeld–Stuhler Modular Varieties
Let 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 A-elliptic sheaves– for different A – are twists of each other and deduce that the uniformization at ∞ and the Cherednik-Drinfeld uniformization for these varieties are equivalent. 2010 Mathematics Subject Classification: ...
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