Rigid G2-representations and motives of type G2

被引：0

作者：

Michael Dettweiler

Johannes Schmidt

机构：

[1] Universität Bayreuth,Mathematisches Institut

[2] Ruprecht-Karls-Universität Heidelberg,Mathematisches Institut

来源：

Israel Journal of Mathematics | 2016年 / 212卷

关键词：

Maximal Subgroup; Galois Group; Monodromy Group; Hyperplane Arrangement; Absolute Galois Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a family of motives associated to the rigid local system whose monodromy is dense in the simple algebraic group of type G2 and which has a local monodromy of order 7 at ∞. We prove an explicit Hilbert irreduciblity theorem for the associated étale realizations and deduce that the specialized motives at the points of irreducibility have motivic Galois group G2.

引用

页码：81 / 106

页数：25

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