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\begin{document}

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\section*{SGA4}

The theory of [[Grothendieck topoi]] and [[etale cohomology]] has been introduced systematically in SGA 4, the fourth volume of [[SGA]].

(SGA4-1) \emph{Th\'e{}orie des topos et cohomologie \'e{}tale des sch\'e{}mas. Tome 1: Th\'e{}orie des topos}, S\'e{}minaire de G\'e{}om\'e{}trie Alg\'e{}brique du Bois-Marie 1963--1964 (SGA 4). Dirig\'e{} par M. Artin, A. Grothendieck, et J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne et B. Saint-Donat. Lecture Notes in Mathematics \textbf{269}, Springer 1972. xix+525 p

(SGA4-2) \emph{Th\'e{}orie des topos et cohomologie \'e{}tale des sch\'e{}mas. Tome 2}, S\'e{}minaire de G\'e{}om\'e{}trie Alg\'e{}brique du Bois-Marie 1963--1964 (SGA 4). Dirig\'e{} par M. Artin, A. Grothendieck et J. L. Verdier. Avec la collaboration de N. Bourbaki, P. Deligne et B. Saint-Donat. Lecture Notes in Mathematics, Vol. 270. Springer-Verlag, Berlin-New York, 1972. iv+418 pp

(SGA4-3) \emph{Th\'e{}orie des topos et cohomologie \'e{}tale des sch\'e{}mas. Tome 3}, S\'e{}minaire de G\'e{}om\'e{}trie Alg\'e{}brique du Bois-Marie 1963--1964 (SGA 4). Dirig\'e{} par M. Artin, A. Grothendieck et J. L. Verdier. Avec la collaboration de P. Deligne et B. Saint-Donat. Lecture Notes in Mathematics \textbf{305}, Springer 1973. vi+640 p

Exposés :

I. Préfaisceaux, par A. Grothendieck et J.-L. Verdier

II. Topologies et faisceaux, par J.-L. Verdier

III. Fonctorialité des catégories de faisceaux, par J.-L. Verdier

IV. Topos, par A. Grothendieck

V. Cohomologie dans les topos, par J.-L. Verdier

Vbis. Techniques de descente cohomologique, par B. Saint-Donat

VI. Conditions de finitude. Topos et sites fibrés. Applications aux questions de passage à la limite, par A. Grothendieck et J.-L. Verdier

VII. Site et topos étales dʼun schéma, par A. Grothendieck

VIII. Foncteurs fibres, supports, étude cohomologique des morphismes finis, par A. Grothendieck

IX. Faisceaux constructibles. Cohomologie dʼune courbe algébrique, par M. Artin

X. Dimension cohomologique : premiers résultats, par M. Artin

XI. Comparaison avec la cohomologie classique : cas dʼun schéma lisse, par M. Artin

XII. Théorème de changement de base pour un morphisme propre, par M. Artin

XIII. Théorème de changement de base pour un morphisme propre : fin de la démonstration, par M. Artin

XIV. Théorème de finitude pour un morphisme propre ; dimension cohomologique des schémas algébriques affines, par M. Artin

XV. Morphismes acycliques, par M. Artin

XVI. Théorème de changement de base par un morphisme lisse, et applications, par M. Artin

XVII. Cohomologie à supports propres, par P. Deligne

XVIII. La formule de dualité globale, par P. Deligne

XIX. Cohomologie des préschémas excellents dʼégales caractéristiques, par M. Artin

Scans are available from \href{http://library.msri.org/books/sga/}{this page}.

\begin{itemize}%
\item \href{http://fabrice.orgogozo.perso.math.cnrs.fr/SGA4/index.html}{Re-edition 2015}

\end{itemize}
[[!redirects SGA 4]] [[!redirects SGA IV]]



\end{document}