The generic monodromy of drinfeld modular varieties in special characteristic

Title: The generic monodromy of drinfeld modular varieties in special characteristic
Creator: Böckle, Gebhard; Breuer, Florian
Relation: Abelian Varieties and Number Theory p. 147-159
Relation: Contemporary Mathematics 767
Publisher Link: http://dx.doi.org/10.1090/conm/767/15404
Publisher: American Mathematical Society
Resource Type: book chapter
Date: 2021
Description: By combining theorems of Drinfeld and Strauch, we show that the monodromy representation on the special fiber of a Drinfeld modular variety, with level not divisible by the characteristic, is surjective. We illustrate this result in the special case of Drinfeld Fq [t]-modules in level t, and apply this to show that the Kronecker factors of a Drinfeld modular polynomial in rank r are irreducible.
Subject: Drinfeld; Strauch; monodromy; Kronecker factors
Identifier: http://hdl.handle.net/1959.13/1468002
Identifier: uon:47965
Identifier: ISBN:9781470464233
Language: eng