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

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

Alexander Grothendieck (IHES , Bures) , Michele Raynaud (Univ. Tours)
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems

    math.AT 2026-04 unverdicted novelty 7.0

    A dedicated global model structure for K-linear ∞-local systems is constructed via simplicial chain complexes, monoidal for base 1-types under the external tensor product.