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24 April 2024
 
  » arxiv » math.AG/0206203

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Revêtements étales et groupe fondamental (SGA 1)
Alexander Grothendieck ; Michele Raynaud ;
Date 20 Jun 2002
Subject Algebraic Geometry; Category Theory; Number Theory MSC-class: 14 (primary), 11G (secondary) | math.AG math.CT math.NT
AffiliationIHES, Bures), Michele Raynaud (Univ. Tours
AbstractLe 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.
Source arXiv, math.AG/0206203
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