paper

Les squelettes accessibles d'un espace de Berkovich

arXiv:2409.08755

Abstract

We define a class of skeletons on Berkovich analytic spaces, which we call "accessible", which contains the standard skeleton of the n-dimensional torus for every n and is preserved by G-glueing, by taking the inverse image along a morphism of relative dimension zero, and by taking the direct image along a morphism whose restriction to the involved skeleton is topologically proper.

in French language, 70 pages; this version takes into account the last remarks of the anonymous referee