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arxiv: math/0605676 · v1 · submitted 2006-05-26 · 🧮 math.MG · math.AG

Notes sur la droite projective de Berkovich

classification 🧮 math.MG math.AG
keywords berkovichnotesprojectivedescriptiondroitealgebraicallyassociassociated
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The pourpose of these notes is to give an elementary description of one of the simplest Berkovich's spaces: that associated to the projective line of a complete and algebraically closed ultrametric field. \ L'objectif de ces notes est de donner une description \'el\'ementaire de l'un des espaces de Berkovich le plus simple : celui associ\'e \`a la droite projective, o\`u le corps ultram\'etrique de base sera suppos\'e complet et alg\'ebriquement clos.

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