Utilisation de l'aplatissement en géométrie de Berkovich
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866917440785481728 |
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| author | Ducros, Antoine |
| author_facet | Ducros, Antoine |
| contents | In this article, we carry out the flattening techniques developped in a former work in order to ``embellish" a map between compact analytic spaces, to describe the structure of its image, getting this way a substitute for Chevalley's theorem in the non-archimedean setting, and finally to show that flatness in the world of Berkovich spaces amounts to naive flatness provided one works with local rings for the G-topology |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02415 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Utilisation de l'aplatissement en géométrie de Berkovich Ducros, Antoine Algebraic Geometry 14G22, 14G99 In this article, we carry out the flattening techniques developped in a former work in order to ``embellish" a map between compact analytic spaces, to describe the structure of its image, getting this way a substitute for Chevalley's theorem in the non-archimedean setting, and finally to show that flatness in the world of Berkovich spaces amounts to naive flatness provided one works with local rings for the G-topology |
| title | Utilisation de l'aplatissement en géométrie de Berkovich |
| topic | Algebraic Geometry 14G22, 14G99 |
| url | https://arxiv.org/abs/2304.02415 |