Revêtements étales et groupe fondamental (SGA 1)

Abstract

Le texte présente les fondements d'une théorie du groupe fondamental en Géométrie Algébrique, dans le point de vue ``kroneckerien'' permettant de traiter sur le même pied le cas d'une variété algébrique au sens habituel, et celui d'un anneau des entiers d'un corps de nombres, par exemple. The text presents the foundations of a theory of the fundamental group in Algebraic Geometry from the Kronecker point of view, allowing one to treat on an equal footing the case of an algebraic variety in the usual sense, and that of the ring of integers in a number field, for instance.

arXiv commentxviii+327 pages. New updated edition of the book ``Revetements Etales et Groupe Fondamental'', Lecture Notes in Mathematics, 224, Springer-Verlag, 1971, by Alexander Grothendieck et al. In French. Updating remarks by Michel Raynaud. Project directed by Bas Edixhoven http://www.math.leidenuniv.nl/~edix/. Published by the Societe Mathematique de France http://smf.emath.fr/Publications/DocumentsMathematiques/. Original text also available in the LaTeX file

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