Publications of the Research Institute for Mathematical Sciences


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Volume 33, Issue 3, 1997, pp. 393–425
DOI: 10.2977/prims/1195145322

The Mumford-Tate Conjecture for Drinfeld-Modules

Richard Pink[1]

(1) Departement Mathematik, ETH Zürich, Rämistrasse 101, 8092, ZÜRICH, SWITZERLAND

Consider the Galois representation on the Tate module of a Drinfeld module over a finitely generated field in generic characteristic. The main object of this paper is to determine the image of Galois in this representation, up to commensurability. We also determine the Dirichlet density of the set of places of prescribed reduction type, such as places of ordinary reduction.

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Pink Richard: The Mumford-Tate Conjecture for Drinfeld-Modules. Publ. Res. Inst. Math. Sci. 33 (1997), 393-425. doi: 10.2977/prims/1195145322