Cote n° 13 · pages 33–45
· 5 diagrammes commutatifs · Groupe de Galois motivique : notes manuscrites (s.d.), lettre (1965).
Datation de l’inventaire : 1965
Édition de démonstration
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
& L \\
K \arrow[ur, no head] \arrow[dr, no head] & \\
& k \arrow[uu, no head]
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
\pi_{1}(S(\mathbb{C}), \xi) \arrow[r, "u"] \arrow[d, "\mathrm{can.}"'] & G(\mathbb{Q}) \arrow[d] \\
\pi_{1}(S, \xi) \arrow[r, "v"] & G/G^{0}(\mathbb{Q})
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
\pi_{1}(S(\mathbb{C}), \xi) \arrow[r, "w"] \arrow[d, "\mathrm{can.}"'] & G(\mathbb{Q}) \arrow[d, "\mathrm{can.}"] \\
\pi_{1}(S, \xi) \arrow[r, "u"] & G(\mathbb{A})
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
\pi_{1} \arrow[r, "v"] \arrow[d, "u"'] & (G/G^{0})(\mathbb{Q}) \arrow[d] \\
G(\mathbb{A}) \arrow[r] & (G/G^{0})(\mathbb{A})
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
\mathrm{Mot}(S) \arrow[r, "\xi^{*}"] \arrow[rrr, bend right=25, "(T_{B})_{\xi}"'] & \mathrm{Mot}(\mathbb{C}) \arrow[r, "T_{B+H}"] & \mathrm{Hodge}(\mathbb{Q}, \mathbb{C}) \arrow[r] & \mathrm{Mod}_{f}(\mathbb{Q})
\end{tikzcd}