Motivic unipotent fundamental groupoid of ${\mathbb{G}}_m\setminus {\mu }_N$ for $N=2,3,4,6,8$ and Galois descents

Claire Glanois

We study Galois descents for categories of mixed Tate motives over ${\mathcal{O}}_N[1/N]$, for $N\in \left\{2,3,4,8\right\}$ or ${\mathcal{O}}_N$ for $N=6$, with $\mathcal{O}_{N…