Cote n° 52 · pages 4–13 · 10 displayed formulas · Théorème de Torelli : notes manuscrites (s.d.).
Inventory dating : s.d.
Édition de démonstration

batch 1 · p. 4 — read it beside the facsimile1 / 10 · 9 distinct symbols, 31 written
\[\underline{\mathrm{Isom}}_{S}(C, C') \longrightarrow \underline{\mathrm{Isom}}_{S}(J^{0}_{C/S}, J^{0}_{C'/S})\]
LaTeX source
\[
  \underline{\mathrm{Isom}}_{S}(C, C') \longrightarrow
  \underline{\mathrm{Isom}}_{S}(J^{0}_{C/S}, J^{0}_{C'/S})
\]
batch 1 · p. 8 — read it beside the facsimile2 / 10 · 5 distinct symbols, 12 written
\[0 \longrightarrow \underline{T} \longrightarrow \underline{V} \longrightarrow \underline{N} \longrightarrow 0\]
LaTeX source
\[
  0 \longrightarrow \underline{T} \longrightarrow \underline{V}
    \longrightarrow \underline{N} \longrightarrow 0
\]
batch 1 · p. 8 — read it beside the facsimile3 / 10 · 15 distinct symbols, 34 written
\[H^{0}(C, \underline{T}) = 0, \qquad H^{0}(C, \underline{V}) \simeq k^{g} \simeq \mathrm{Im}\, H^{0}(A, \check{\Omega}_{A/k}),\]
LaTeX source
\[
  H^{0}(C, \underline{T}) = 0, \qquad
  H^{0}(C, \underline{V}) \simeq k^{g} \simeq
  \mathrm{Im}\, H^{0}(A, \check{\Omega}_{A/k}),
\]
batch 1 · p. 8 — read it beside the facsimile4 / 10 · 13 distinct symbols, 28 written
\[H^{1}(C, \underline{T}) \longrightarrow H^{1}(C, \underline{V}) \simeq \struck{\ill{}} H^{1}(A, \check{\Omega}_{A/k})\]
LaTeX source
\[
  H^{1}(C, \underline{T}) \longrightarrow H^{1}(C, \underline{V})
  \simeq \struck{\ill{}} H^{1}(A, \check{\Omega}_{A/k})
\]
batch 1 · p. 9 — read it beside the facsimile5 / 10 · 11 distinct symbols, 37 written
\[H^{0}(C, \check{\underline{V}} \otimes \underline{\Omega}) = H^{0}(C, \underline{\Omega}) \otimes H^{0}(C, \underline{\Omega}) \longrightarrow H^{0}(C, \underline{\Omega}^{\otimes 2})\]
LaTeX source
\[
  H^{0}(C, \check{\underline{V}} \otimes \underline{\Omega})
  = H^{0}(C, \underline{\Omega}) \otimes H^{0}(C, \underline{\Omega})
  \longrightarrow H^{0}(C, \underline{\Omega}^{\otimes 2})
\]
batch 1 · p. 10 — read it beside the facsimile6 / 10 · 11 distinct symbols, 13 written
\[J^{0}_{C_{\eta}/k(\eta)} \xrightarrow{\;\sim\;} A_{\eta}.\]
LaTeX source
\[
  J^{0}_{C_{\eta}/k(\eta)} \xrightarrow{\;\sim\;} A_{\eta}.
\]
batch 1 · p. 11 — read it beside the facsimile7 / 10 · 12 distinct symbols, 24 written
\[\tfrac{1}{n!}\,\deg \Theta_{a}^{n} = 1, \qquad \Theta_{a}^{\,n-1} \equiv (n-1)!\, Z\]
LaTeX source
\[
  \tfrac{1}{n!}\,\deg \Theta_{a}^{n} = 1,
  \qquad
  \Theta_{a}^{\,n-1} \equiv (n-1)!\, Z
\]
batch 1 · p. 11 — read it beside the facsimile8 / 10 · 13 distinct symbols, 30 written
\[\deg(\Theta_{\eta}^{n})/n! = 1 \quad\text{et}\quad \Theta_{\eta}^{\,n-1} \equiv (n-1)!\, C_{\eta},\]
LaTeX source
\[
  \deg(\Theta_{\eta}^{n})/n! = 1
  \quad\text{et}\quad
  \Theta_{\eta}^{\,n-1} \equiv (n-1)!\, C_{\eta},
\]
batch 1 · p. 11 — read it beside the facsimile9 / 10 · 13 distinct symbols, 30 written
\[\deg(\Theta_{a}^{n}/n!) = 1 \quad\text{et}\quad \Theta_{a}^{\,n-1} \equiv (n-1)!\, C_{a}.\]
LaTeX source
\[
  \deg(\Theta_{a}^{n}/n!) = 1
  \quad\text{et}\quad
  \Theta_{a}^{\,n-1} \equiv (n-1)!\, C_{a}.
\]
batch 1 · p. 13 — read it beside the facsimile10 / 10 · 8 distinct symbols, 17 written
\[\varphi : J^{0}_{C/S} \longrightarrow A, \qquad \varphi' : J^{0}_{C'/S} \longrightarrow A.\]
LaTeX source
\[
  \varphi : J^{0}_{C/S} \longrightarrow A,
  \qquad
  \varphi' : J^{0}_{C'/S} \longrightarrow A.
\]