Cote n° 154 · pages 16–156
· 7 commutative diagrams · [Système de pseudo-droites] : notes manuscrites (1983-1984, s.d.).
Inventory dating : 1983-1984
Édition de démonstration
LaTeX source
\begin{tikzcd}[sep=small]
& \cdot & \\
& D \arrow[u] \arrow[r] \arrow[dl] \arrow[d] & \cdot \\
\cdot & \cdot &
\end{tikzcd}LaTeX source
\begin{tikzcd}[sep=small]
& \cdot & \\
& D \arrow[u] \arrow[dl] \arrow[dr] & \\
\cdot & & \cdot
\end{tikzcd}LaTeX source
\begin{tikzcd}[sep=small]
& \cdot & \cdot \arrow[dl, Rightarrow] \\
& D \arrow[u] \arrow[dr] & \\
\cdot \arrow[ur, Rightarrow] & & \cdot
\end{tikzcd}LaTeX source
\begin{tikzcd}[sep=small]
\cdot \arrow[dr, Rightarrow] & & \cdot \arrow[dl, Rightarrow] \\
& D & \\
\cdot \arrow[ur, Rightarrow] & & \cdot \arrow[ul, Rightarrow]
\end{tikzcd}LaTeX source
\begin{tikzcd}[sep=small]
& \cdot & \cdot \arrow[dl, Rightarrow] \\
\cdot \arrow[r, Rightarrow] & D \arrow[u] \arrow[d] \arrow[dr] & \cdot \arrow[l, Rightarrow] \\
\cdot \arrow[ur, Rightarrow] & \cdot & \cdot
\end{tikzcd}LaTeX source
\begin{tikzcd}
& & & \sigma_1\sigma_0 \arrow[d] & & & \\
& & & (\sigma_1, \sigma_0) & & & \\
& & \sigma_1\sigma_2 \arrow[dr] & & & & \\
& \sigma_1 \arrow[rr] \arrow[d] \arrow[uurr, bend left] & & (\sigma_1, \sigma_2) & & \sigma_2 \arrow[ll] \arrow[d] \arrow[dll] & \\
\sigma_1\sigma \arrow[r] & (\sigma_1, \sigma) \arrow[urr] & & (\sigma, \sigma_2) \arrow[u] \arrow[dr] & & (\sigma_2, \sigma_0) \arrow[dl] & \sigma_0\sigma_2 \arrow[l] \\
& & \sigma \arrow[ul] \arrow[ur] \arrow[rr] & & (\sigma, \sigma_0) & & \sigma_0 \arrow[ul] \arrow[ll] \arrow[uuuulll, bend right] \\
& & & \sigma\sigma_2 \arrow[uu, dashed] & \sigma\sigma_0 \arrow[u] & &
\end{tikzcd}LaTeX source
\begin{tikzcd}
& (D_0, -\beta^{*}, \omega^{*}) & \text{(dessins } \rho_s\text{)} \arrow[ddl, bend right, "\rho_s"'] & \text{(dessins } \rho_f\text{)} \arrow[ddll, "\rho_f"'] \\
& & & (D_0, \beta^{*}, -\omega^{*}) \\
& (D_0, \beta^{*}, \omega^{*}) \arrow[uu, "\sigma"] \arrow[urr, "\sigma_0"] \arrow[rr, "\sigma_1"] \arrow[drr, leftrightarrow, "\sigma_2"'] & & \text{(dessins } \sigma_1\text{)} \\
& & & (D_0, -\beta^{*}, -\omega^{*})
\end{tikzcd}