Cote n° 78 · pages 29–129 · 9 commutative diagrams · [Polygones réguliers et polynômes cyclotomiques] : notes manuscrites (s.d.).
Inventory dating : [à partir de 1977]
Édition de démonstration

batch 2 · p. 29 — read it beside the facsimile1 / 9
LaTeX source
\begin{tikzcd}
  S \arrow[r, "\varphi"] \arrow[d, "v"'] & E \arrow[d, "v_E"] \\
  S \arrow[r, "\varphi"'] & E
\end{tikzcd}
batch 4 · p. 77 — read it beside the facsimile2 / 9
LaTeX source
\begin{tikzcd}
& \operatorname{Rep}(\Pi_\infty) \arrow[dl, "\underline{\sigma}_1"'] \arrow[dr, "\underline{\sigma}_0"] & \\
S(\Pi_\infty) & & A(\Pi_\infty)
\end{tikzcd}
batch 4 · p. 78 — read it beside the facsimile3 / 9
LaTeX source
\begin{tikzcd}
\operatorname{Rep}(\Pi_\infty) \arrow[r, "\varphi_{\mathrm{rep}}"] \arrow[d, "\mathrm{pr}_1"] \arrow[dd, bend right=50, "\mathrm{pr}_2"'] & \operatorname{Drap.aff}(E) \arrow[d, "\mathrm{pr}_1"] \arrow[dd, bend left=50, "\mathrm{pr}_2"] \\
S(\Pi_\infty) \arrow[r, "\varphi_S"] & E \\
A(\Pi_\infty) \arrow[r, "\varphi_A"] & \operatorname{Dr}(E)
\end{tikzcd}
batch 7 · p. 128 — read it beside the facsimile4 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
A=\mathbb{Z}[T,T^{-1}] \arrow[r] & \mathbb{Z}[T]/\Phi_n(T)=A_n\\
B=\mathbb{Z}[U]=\mathbb{Z}[T]^{\sigma} \arrow[r] \arrow[u, hook] & \mathbb{Z}[U]/F_n(U)=B_n \arrow[u, hook]
\end{tikzcd}
batch 7 · p. 128 — read it beside the facsimile5 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
\mathbb{G}_m \arrow[d] & \supset\ \mu_n\ \supset\ \mu_n^* & \\
\mathbb{E}^1 & \tilde\mu_n/\{\pm1\} \arrow[l] & \tilde\mu_n^* \arrow[l]
\end{tikzcd}
batch 7 · p. 129 — read it beside the facsimile6 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
B \arrow[dr, no head] & & B' \arrow[dl, no head]\\
& A &
\end{tikzcd}
batch 7 · p. 129 — read it beside the facsimile7 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
& X\times_S X \arrow[dl, no head] \arrow[dr, no head] & \\
X \arrow[dr, no head] & & X' \arrow[dl, no head]\\
& S &
\end{tikzcd}
batch 7 · p. 129 — read it beside the facsimile8 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
& \pi_1(S-\{s,s'\}) \arrow[dl] \arrow[dr] & \\
\pi_1(S-s) \arrow[dr] & & \pi_1(S-s') \arrow[dl]\\
& \pi_1(S) &
\end{tikzcd}
batch 7 · p. 129 — read it beside the facsimile9 / 9
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
& G*\mathbb{Z}*\mathbb{Z} \arrow[dl] \arrow[dr] & \\
X*\mathbb{Z} \arrow[dr] & & G*\mathbb{Z} \arrow[dl]\\
& G &
\end{tikzcd}