Groupes fondamentaux motiviques de Tate mixte

Details Groupes fondamentaux motiviques de Tate mixte Groupes fondamentaux motiviques de Tate mixte

2003-02-21

arxiv.org/abs/math/0302267v2

Mathematics

Number Theory

84 pages, v2: a transmission error corrected

Scientific paper

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.

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