The generic monodromy of Drinfeld modular varieties in special\n characteristic

2019/12/20 by Gebhard Böckle, Böckle, Gebhard, Florian Breuer +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1912.09820

Abstract

By combining theorems of Drinfeld and Strauch, we show that the monodromy\nrepresentation on the special fibre of a Drinfeld modular variety, with level\nnot divisible by the characteristic, is surjective. We illustrate this result\nin the special case of Drinfeld mathbbF_q[t]-modules in level t, and\napply this to show that the Kronecker factors of a Drinfeld modular polynomial\nin rank r are irreducible.\n

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