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# Motivic Galois theory for motives of level ≤ 1

Bertolin, Cristiana (2003) Motivic Galois theory for motives of level ≤ 1. arXiv.

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## Abstract

Let T be a Tannakian category over a field k of characteristic 0 and \pi(T) its fundamental group. In this paper we prove that there is a bijection between the otimes-equivalence classes of Tannakian subcategories of T and the normal affine group sub-T-schemes of \pi(T). We apply this result to the Tannakian category T_1(k) generated by motives of niveau \leq 1 defined over k, whose fundamental ...

## Export bibliographical data

Item Type:Article
Date:2003
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Identification Number:
ValueType
arXiv:math/0309379v2arXiv ID
Classification:
NotationType
14L15;18A22MSC
Keywords:Fundamental group of Tannakian categories, Artin motives, 1- motives, motivic Galois groups
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Petra Gürster
Deposited On:27 Nov 2009 07:04
Item ID:10991
Owner Only: item control page