Cote n° 54 · pages 2–6 · 6 displayed formulas · Dualité en cohomologie des V. A [variétés abéliennes] : notes manuscrites (s.d.).
Inventory dating : [à partir de 1971]
Édition de démonstration

batch 1 · p. 2 — read it beside the facsimile1 / 6 · 8 distinct symbols, 21 written
\[H^{*}(A) \;=\; \underline{\underline{H}}{}^{*}\!\left(A,\ \underline{\underline{\Omega}}{}^{*}_{A}\right)\]
LaTeX source
\[
  H^{*}(A) \;=\; \underline{\underline{H}}{}^{*}\!\left(A,\ \underline{\underline{\Omega}}{}^{*}_{A}\right)
\]
batch 1 · p. 2 — read it beside the facsimile2 / 6 · 15 distinct symbols, 35 written
\[t_B = H^1(A, \mathcal{O}_A), \qquad t_A = H^0(A, \Omega^1_A)^{\vee} \simeq H^n(A, \Omega^{n-1}_A) .\]
LaTeX source
\[
  t_B = H^1(A, \mathcal{O}_A), \qquad
  t_A = H^0(A, \Omega^1_A)^{\vee} \simeq H^n(A, \Omega^{n-1}_A) .
\]
batch 1 · p. 2 — read it beside the facsimile3 / 6 · 9 distinct symbols, 14 written
\[0 \longrightarrow W(\check{t}_B) \longrightarrow E \longrightarrow A \longrightarrow 0\]
LaTeX source
\[
  0 \longrightarrow W(\check{t}_B) \longrightarrow E \longrightarrow A \longrightarrow 0
\]
batch 1 · p. 2 — read it beside the facsimile4 / 6 · 7 distinct symbols, 13 written
\[0 \longrightarrow \check{t}_B \longrightarrow t_E \longrightarrow t_A \longrightarrow 0 .\]
LaTeX source
\[
  0 \longrightarrow \check{t}_B \longrightarrow t_E \longrightarrow t_A \longrightarrow 0 .
\]
batch 1 · p. 4 — read it beside the facsimile5 / 6 · 13 distinct symbols, 48 written
\[\left. \begin{array}{l} F^A \subset {}_pA \\[2pt] F^B \subset {}_pB \end{array} \right\} \quad \text{duals l'un de l'autre}\]
LaTeX source
\[
  \left.
  \begin{array}{l}
    F^A \subset {}_pA \\[2pt]
    F^B \subset {}_pB
  \end{array}
  \right\} \quad \text{duals l'un de l'autre}
\]
batch 1 · p. 6 — read it beside the facsimile6 / 6 · 10 distinct symbols, 28 written
\[0 \longrightarrow \operatorname{Gr}(t_A) \longrightarrow {}_pA \longrightarrow D\!\left(\operatorname{Gr}(t_B)\right) \longrightarrow 0\]
LaTeX source
\[
  0 \longrightarrow \operatorname{Gr}(t_A) \longrightarrow {}_pA
    \longrightarrow D\!\left(\operatorname{Gr}(t_B)\right) \longrightarrow 0
\]