Notes sur la droite projective de Berkovich

Details Notes sur la droite projective de Berkovich Notes sur la droite projective de Berkovich

2006-05-26

arxiv.org/abs/math/0605676v1

Mathematics

Metric Geometry

Scientific paper

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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