Formal models for relative adic spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915390709301248 |
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| author | Dine, Dimitri |
| author_facet | Dine, Dimitri |
| contents | We extend Raynaud's theory of formal models from rigid-analytic spaces over a nonarchimedean field to uniform qcqs adic spaces $X$, with no finite-type assumptions, over an arbitrary Tate affinoid base $S$. The key new ingredient is the notion of a normalized formal blow-up which takes on the role played by admissible formal blow-ups in the classical theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formal models for relative adic spaces Dine, Dimitri Algebraic Geometry Number Theory 14G22, 14G45 We extend Raynaud's theory of formal models from rigid-analytic spaces over a nonarchimedean field to uniform qcqs adic spaces $X$, with no finite-type assumptions, over an arbitrary Tate affinoid base $S$. The key new ingredient is the notion of a normalized formal blow-up which takes on the role played by admissible formal blow-ups in the classical theory. |
| title | Formal models for relative adic spaces |
| topic | Algebraic Geometry Number Theory 14G22, 14G45 |
| url | https://arxiv.org/abs/2507.11073 |