Motivic Galois theory for motives of level ≤ 1

URN to cite this document:: urn:nbn:de:bvb:355-epub-109910
DOI to cite this document:: 10.5283/epub.10991

Bertolin, Cristiana

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Date of publication of this fulltext: 27 Nov 2009 07:04

Alternative links to fulltext:Arxiv Publisher

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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 ...