Comments:

over 2000 pages, about 100 Mb, 1963-1964 seminar notes in French

Abstract:

SGA4-1 to 4-3 and SGA4h, consists in a series of presentations, expositions or expose's on the subject of "Topos Theory and 'Etale Cohomology of Schemes". Expose' I 'a XIV (in French). Also includes a framework for the Descent Theory of Alexander Grothendieck et al. Fppf and "crystalline" cohomologies utilizing both algebraic and topological concepts, in the language of toposes or topoi, that employs several functors between sites; in this language the concepts of topos and topos morphims play central roles. Exposition IV (Fr. expose' SGA41/2 or SGA4h) is devoted to the presentation of such concepts and their applications in Algebraic Geometry. The general concept of a category of presheaves is also developed in this context and applied to fibered toposes in Exposition VI (expose' VI).

Rights:

open access: http://modular.fas.harvard.edu/sga/index.html

Download:

pdftex.htm
sga4-1.pdf
sga4-2.pdf
sga4-3.pdf
sga4h.pdf

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