Quantcast

Notes sur la droite projective de Berkovich

Research paper by Juan Rivera-Letelier

Indexed on: 26 May '06Published on: 26 May '06Published in: Mathematics - Metric Geometry



Abstract

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.