Les squelettes accessibles d'un espace de Berkovich
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913666252668928 |
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| author | Ducros, Antoine Thuillier, Amaury |
| author_facet | Ducros, Antoine Thuillier, Amaury |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08755 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Les squelettes accessibles d'un espace de Berkovich Ducros, Antoine Thuillier, Amaury Algebraic Geometry 14G22, 14G99 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. |
| title | Les squelettes accessibles d'un espace de Berkovich |
| topic | Algebraic Geometry 14G22, 14G99 |
| url | https://arxiv.org/abs/2409.08755 |