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arxiv: math/0206203 · v2 · submitted 2002-06-20 · 🧮 math.AG · math.CT· math.NT

Rev\^etements \'etales et groupe fondamental (SGA 1)

classification 🧮 math.AG math.CTmath.NT
keywords algebraicebriquefondamentalgroupepointallowinganneaucase
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Le texte pr\'esente les fondements d'une th\'eorie du groupe fondamental en G\'eom\'etrie Alg\'ebrique, dans le point de vue ``kroneckerien'' permettant de traiter sur le m\^eme pied le cas d'une vari\'et\'e alg\'ebrique 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.

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