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arXiv · 2409.08755

Les squelettes accessibles d'un espace de Berkovich

Antoine Ducros·Amaury Thuillier
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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.

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Antoine Ducros, Amaury Thuillier. 2024-09-13. Les squelettes accessibles d'un espace de Berkovich. https://arxiv.org/abs/2409.08755

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