Cote n° 49 · pages 4–8
· 2 diagrammes commutatifs · Picard des schémas abéliens : notes manuscrites (s.d.).
Datation de l’inventaire : s.d.
Édition de démonstration
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
\Lambda^{*}\!\left(R^{1}f_{*}(\mathcal{O}_{A})\right)_{y}
\arrow[r, "\alpha"] \arrow[d, "\text{surj}"]
& R^{*}f_{*}(\mathcal{O}_{A})_{y} \arrow[d] \\
\Lambda^{*}H^{1}(X_{y}, \mathcal{O}_{X_{y}})
\arrow[r, "\simeq"]
& H^{*}(X_{y}, \mathcal{O}_{X_{y}})
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
A & A \times A \arrow[l, "\mathrm{pr}_{2}"'] \arrow[r, "\pi"]
\arrow[d, "\mathrm{pr}_{1}"] & A \\
& A &
\end{tikzcd}