Groupes fondamentaux motiviques de Tate mixte
Number Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We define the category of mixed Tate motives over the ring of S-integers of a number field. We define the motivic fundamental group (made unipotent) of a unirational variety over a number field. We apply this to the study of the motivic fundamental group of the projective line punctured at zero, infinity and all N-th roots of unity.
Keywords
Cite
@article{arxiv.math/0302267,
title = {Groupes fondamentaux motiviques de Tate mixte},
author = {P. Deligne and A. B. Goncharov},
journal= {arXiv preprint arXiv:math/0302267},
year = {2007}
}
Comments
84 pages, v2: a transmission error corrected