Cote n° 37 · pages 16–92
· 18 displayed formulas · Rééditions SGA, EGA [SGA 4 à SGA 7, EGA I et EGA II] : tapuscrits et copies de tapuscrit annoté (s.d.), lettres (1967-1971, s.d.), notes manuscrites (s.d.).
Inventory dating : 1967-1971
Édition de démonstration
\[\mathrm{Res} : S^{\sim} \to S_0^{\sim} ,\]
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\[
\mathrm{Res} : S^{\sim} \to S_0^{\sim} ,
\]\[\widetilde{X}_{\text{ét}} \simeq \varprojlim_{\text{top}} \widetilde{X}_i .\]
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\[
\widetilde{X}_{\text{ét}} \simeq \varprojlim_{\text{top}} \widetilde{X}_i .
\]\[G(X) \longrightarrow G'(X')\]
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\[ G(X) \longrightarrow G'(X') \]
\[f^{*}(g_{*}(G)) \longrightarrow g'_{*}(f'^{*}(G))\]
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\[
f^{*}(g_{*}(G)) \longrightarrow g'_{*}(f'^{*}(G))
\]\[G(X) \longrightarrow G'(X')\]
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\[ G(X) \longrightarrow G'(X') \]
\[H^n(\widetilde{E}, F) \simeq \varinjlim_{\mathcal{U} \in R}\
\varprojlim_{\mathcal{U}} \ill{}\]
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\[
H^n(\widetilde{E}, F) \simeq \varinjlim_{\mathcal{U} \in R}\
\varprojlim_{\mathcal{U}} \ill{}
\]\[\mathrm{Hom}(X, X') \longrightarrow
\mathrm{Homtoplocan}(\widetilde{X}_{\text{ét}}, \widetilde{X}'_{\text{ét}})\]
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\[
\mathrm{Hom}(X, X') \longrightarrow
\mathrm{Homtoplocan}(\widetilde{X}_{\text{ét}}, \widetilde{X}'_{\text{ét}})
\]\[X_2 \mathrel{\substack{\longrightarrow\\[-2pt] \longrightarrow\\[-2pt]
\longrightarrow}} X_1 \rightrightarrows X_0\]
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\[
X_2 \mathrel{\substack{\longrightarrow\\[-2pt] \longrightarrow\\[-2pt]
\longrightarrow}} X_1 \rightrightarrows X_0
\]\[I^{\wedge} \qquad I^{\vee}\]
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\[
I^{\wedge} \qquad I^{\vee}
\]\[\mathrm{Ouv}(I) \overset{\mathrm{déf}}{=} \mathrm{Crib}(I) \simeq
\mathrm{Ouv}(I^{\wedge}) \quad \text{donc}\]
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\[
\mathrm{Ouv}(I) \overset{\mathrm{déf}}{=} \mathrm{Crib}(I) \simeq
\mathrm{Ouv}(I^{\wedge}) \quad \text{donc}
\]\[I^{\wedge} \simeq \mathrm{Ouv}(I)^{\sim} = \mathrm{Top}(I).\]
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\[
I^{\wedge} \simeq \mathrm{Ouv}(I)^{\sim} = \mathrm{Top}(I).
\]\[D(i_*(F_y)) = i_*(D(F_y))\]
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\[ D(i_*(F_y)) = i_*(D(F_y)) \]
\[(*) \qquad \tau(E) \times E \xrightarrow{\ \varphi_E\ } E\]
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\[
(*) \qquad \tau(E) \times E \xrightarrow{\ \varphi_E\ } E
\]\[M_n = A_n/J_n ,\]
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\[ M_n = A_n/J_n , \]
\[B = k[(X_i)_{i \geq 0}] ,\]
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\[
B = k[(X_i)_{i \geq 0}] ,
\]\[a_0 X_0 + \cdots + a_n X_n T^n = F_0 X_0 T + \cdots + F_n X_n T^{n+1} ,\]
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\[
a_0 X_0 + \cdots + a_n X_n T^n = F_0 X_0 T + \cdots + F_n X_n T^{n+1} ,
\]\[a_i X_i T^i = F'_i X_i T^{i+1}\]
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\[
a_i X_i T^i = F'_i X_i T^{i+1}
\]\[a_i = F'_i T\]
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\[ a_i = F'_i T \]