The Mumford-Tate Conjecture for Drinfeld-Modules
Richard PinkETH 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.
Cite this article
Richard Pink, The Mumford-Tate Conjecture for Drinfeld-Modules. Publ. Res. Inst. Math. Sci. 33 (1997), no. 3, pp. 393–425DOI 10.2977/PRIMS/1195145322