English

Tate motives and the fundamental group

Algebraic Geometry 2007-08-31 v1 K-Theory and Homology

Abstract

Let k be a number field, and let S be a finite set of k-rational points of P^1. We relate the Deligne-Goncharov contruction of the motivic fundamental group of X:=P^1_k- S to the Tannaka group scheme of the category of mixed Tate motives over X.

Keywords

Cite

@article{arxiv.0708.4034,
  title  = {Tate motives and the fundamental group},
  author = {Hélène Esnault and Marc Levine},
  journal= {arXiv preprint arXiv:0708.4034},
  year   = {2007}
}
R2 v1 2026-06-21T09:12:04.504Z